Question 1

A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction.If the top of the building is 30 m above the ground,how fast will the projectile be moving just before it strikes the ground?

Accepted Answer

A) 35 m/s 
B) 39 m/s 
C) 31 m/s 
D) 43 m/s 
E) 54 m/s

Question 2

Exhibit 4-2
Newton approximated motion in a circle as a series of linear motions,as in the polygon below.  Assume that the particle moves at constant speed vS1U1B1AS1U1B0 from A to B,and at constant speed vS1U1B1BS1U1B0 from B to C.
Use this exhibit to answer the following question(s).
-Refer to Exhibit 4-2.The direction of the acceleration, 
,at point B,is shown by the arrow in

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

The site from which an airplane takes off is the origin.The x axis points east;the y axis points straight up.The position and velocity vectors of the plane at a later time are given by 
And 
)
The plane is most likely

Accepted Answer

A) just touching down. 
B) in level flight in the air. 
C) ascending. 
D) descending. 
E) taking off.

Question 4

Given the equations below,which description best fits the physical situation?

Accepted Answer

A) A projectile's displacement two seconds after being fired upward with a speed of 30.0 m/s. 
B) A projectile's displacement two seconds after being fired upward with a speed of 40.0 m/s. 
C) A projectile's displacement two seconds after being fired upward with a speed of 50.0 m/s. 
D) A projectile's displacement two seconds after being fired upward with a speed of 60.0 m/s. 
E) A projectile's displacement two seconds after being fired upward with a speed of 80.0 m/s.

Question 5

Two cars are traveling around identical circular racetracks.Car A travels at a constant speed of 20 m/s.Car B starts at rest and speeds up with constant tangential acceleration until its speed is 40 m/s.When car B has the same (tangential)velocity as car A,it is always true that:

Accepted Answer

A) it is passing car A. 
B) it has the same linear (tangential)acceleration as car A. 
C) it has the same centripetal acceleration as car A. 
D) it has the same total acceleration as car A. 
E) it has traveled farther than car A since starting.

Question 6

Raindrops are falling straight downward.When observed from a car traveling at 55.0 mi/h,the drops streak the side window at an angle of 60.0° with the vertical.Find the speed with which the drops are falling.

Accepted Answer

The answer of Raindrops are falling straight downward.When observed from...

Question 7

A ball is thrown horizontally from the top of a building 0.10 km high.The ball strikes the ground at a point 65 m horizontally away from and below the point of release.What is the speed of the ball just before it strikes the ground?

Accepted Answer

A) 43 m/s 
B) 47 m/s 
C) 39 m/s 
D) 36 m/s 
E) 14 m/s

Question 8

A football is thrown upward at a 30.0° angle to the horizontal.To throw a 40.0-m pass,what must be the initial speed of the ball?

Accepted Answer

The answer of A football is thrown upward at a...

Question 9

A particle moves in the xy plane with a constant acceleration given by 
)At t = 0,its position and velocity are 10 
M and 
,respectively.What is the distance from the origin to the particle at t = 2.0 s?

Accepted Answer

A) 6.4 m 
B) 10 m 
C) 8.9 m 
D) 2.0 m 
E) 6.2 m

Question 10

A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute.What is the acceleration of a passenger at his lowest point during the ride?

Accepted Answer

A) 5.7 m/s2 downward 
B) 4.1 m/s2 upward 
C) 14 m/s2 downward 
D) 4.1 m/s2 downward 
E) 19 m/s2 downward

Question 11

The site from which an airplane takes off is the origin.The x axis points east;the y axis points straight up.The position and velocity vectors of the plane at a later time are given by 
And 
)
The plane is most likely

Accepted Answer

A) just touching down. 
B) in level flight in the air. 
C) ascending. 
D) descending. 
E) taking off.

Question 12

A particle moves at a constant speed in a circular path with a radius of 2.06 cm.If the particle makes four revolutions each second,what is the magnitude of its acceleration?

Accepted Answer

A) 20 m/s2 
B) 18 m/s2 
C) 13 m/s2 
D) 15 m/s2 
E) 24 m/s2

Question 13

A car is driven 1 200 m north at 20.0 m/s and then driven 1 600 m east at 25.0 m/s.What is the magnitude of the average velocity for this trip?

Accepted Answer

A) 16.1 m/s 
B) 22.6 m/s 
C) 31.3 m/s 
D) 11.3 m/s 
E) 62.2 m/s

Question 14

The pilot of an aircraft flies due north relative to the ground in a wind blowing 40 km/h toward the east.If his speed relative to the ground is 80 km/h,what is the speed of his airplane relative to the air?

Accepted Answer

A) 89 km/h 
B) 85 km/h 
C) 81 km/h 
D) 76 km/h 
E) 72 km/h

Question 15

An artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal.It explodes on a mountainside 42.0 s after firing.If x is horizontal and y vertical,find the (x,y)coordinates where the shell explodes.

Accepted Answer

The answer of An artillery shell is fired with an...

Question 16

A space station of diameter 80 m is turning about its axis at a constant rate.If the acceleration of the outer rim of the station is 2.5 m/s2,what is the period of revolution of the space station?

Accepted Answer

A) 22 s 
B) 19 s 
C) 25 s 
D) 28 s 
E) 40 s

Question 17

Refer to Exhibit 4-1.At what time intervals does Sheila encounter her brother,if she rides opposite to the direction of rotation of the merry-go-round?

Accepted Answer

A) 5.03 s 
B) 8.37 s 
C) 12.6 s 
D) 25.1 s 
E) 50.2 s

Question 18

A particle starts from the origin at t = 0 with a velocity of (16 
− 12 
)m/s and moves in the xy plane with a constant acceleration of 
= (3.0 
− 6)0 
)m/s2.What is the speed of the particle at t = 2.0 s?

Accepted Answer

A) 52 m/s 
B) 39 m/s 
C) 46 m/s 
D) 33 m/s 
E) 43 m/s

Question 19

A particle starts from the origin at t = 0 with a velocity of 6.0 
M/s and moves in the xy plane with a constant acceleration of (−2.0 
+ 4)0 
)m/s2.At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

Accepted Answer

A) 36 m 
B) 20 m 
C) 45 m 
D) 27 m 
E) 37 m

Exam 4: Motion in Two Dimensions

A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction.If the top of the building is 30 m above the ground,how fast will the projectile be moving just before it strikes the ground?

The site from which an airplane takes off is the origin.The x axis points east;the y axis points straight up.The position and velocity vectors of the plane at a later time are given by And ) The plane is most likely

Given the equations below,which description best fits the physical situation?

Two cars are traveling around identical circular racetracks.Car A travels at a constant speed of 20 m/s.Car B starts at rest and speeds up with constant tangential acceleration until its speed is 40 m/s.When car B has the same (tangential) velocity as car A,it is always true that:

Raindrops are falling straight downward.When observed from a car traveling at 55.0 mi/h,the drops streak the side window at an angle of 60.0° with the vertical.Find the speed with which the drops are falling.

A ball is thrown horizontally from the top of a building 0.10 km high.The ball strikes the ground at a point 65 m horizontally away from and below the point of release.What is the speed of the ball just before it strikes the ground?

A football is thrown upward at a 30.0° angle to the horizontal.To throw a 40.0-m pass,what must be the initial speed of the ball?

A particle moves in the xy plane with a constant acceleration given by ) At t = 0,its position and velocity are 10 M and ,respectively.What is the distance from the origin to the particle at t = 2.0 s?

A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute.What is the acceleration of a passenger at his lowest point during the ride?

The site from which an airplane takes off is the origin.The x axis points east;the y axis points straight up.The position and velocity vectors of the plane at a later time are given by And ) The plane is most likely

A particle moves at a constant speed in a circular path with a radius of 2.06 cm.If the particle makes four revolutions each second,what is the magnitude of its acceleration?

A car is driven 1 200 m north at 20.0 m/s and then driven 1 600 m east at 25.0 m/s.What is the magnitude of the average velocity for this trip?

The pilot of an aircraft flies due north relative to the ground in a wind blowing 40 km/h toward the east.If his speed relative to the ground is 80 km/h,what is the speed of his airplane relative to the air?

An artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal.It explodes on a mountainside 42.0 s after firing.If x is horizontal and y vertical,find the (x,y)coordinates where the shell explodes.

A space station of diameter 80 m is turning about its axis at a constant rate.If the acceleration of the outer rim of the station is 2.5 m/s²,what is the period of revolution of the space station?

Refer to Exhibit 4-1.At what time intervals does Sheila encounter her brother,if she rides opposite to the direction of rotation of the merry-go-round?

A particle starts from the origin at t = 0 with a velocity of (16 − 12 ) m/s and moves in the xy plane with a constant acceleration of = (3.0 − 6) 0 ) m/s².What is the speed of the particle at t = 2.0 s?

A particle starts from the origin at t = 0 with a velocity of 6.0 M/s and moves in the xy plane with a constant acceleration of (−2.0 + 4) 0 ) m/s².At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

Exam 4: Motion in Two Dimensions

A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction.If the top of the building is 30 m above the ground,how fast will the projectile be moving just before it strikes the ground?

The site from which an airplane takes off is the origin.The x axis points east;the y axis points straight up.The position and velocity vectors of the plane at a later time are given by And ) The plane is most likely

Given the equations below,which description best fits the physical situation?

Two cars are traveling around identical circular racetracks.Car A travels at a constant speed of 20 m/s.Car B starts at rest and speeds up with constant tangential acceleration until its speed is 40 m/s.When car B has the same (tangential) velocity as car A,it is always true that:

Raindrops are falling straight downward.When observed from a car traveling at 55.0 mi/h,the drops streak the side window at an angle of 60.0° with the vertical.Find the speed with which the drops are falling.

A ball is thrown horizontally from the top of a building 0.10 km high.The ball strikes the ground at a point 65 m horizontally away from and below the point of release.What is the speed of the ball just before it strikes the ground?

A football is thrown upward at a 30.0° angle to the horizontal.To throw a 40.0-m pass,what must be the initial speed of the ball?

A particle moves in the xy plane with a constant acceleration given by ) At t = 0,its position and velocity are 10 M and ,respectively.What is the distance from the origin to the particle at t = 2.0 s?

A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute.What is the acceleration of a passenger at his lowest point during the ride?

The site from which an airplane takes off is the origin.The x axis points east;the y axis points straight up.The position and velocity vectors of the plane at a later time are given by And ) The plane is most likely

A particle moves at a constant speed in a circular path with a radius of 2.06 cm.If the particle makes four revolutions each second,what is the magnitude of its acceleration?

A car is driven 1 200 m north at 20.0 m/s and then driven 1 600 m east at 25.0 m/s.What is the magnitude of the average velocity for this trip?

The pilot of an aircraft flies due north relative to the ground in a wind blowing 40 km/h toward the east.If his speed relative to the ground is 80 km/h,what is the speed of his airplane relative to the air?

An artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal.It explodes on a mountainside 42.0 s after firing.If x is horizontal and y vertical,find the (x,y)coordinates where the shell explodes.

A space station of diameter 80 m is turning about its axis at a constant rate.If the acceleration of the outer rim of the station is 2.5 m/s2,what is the period of revolution of the space station?

Refer to Exhibit 4-1.At what time intervals does Sheila encounter her brother,if she rides opposite to the direction of rotation of the merry-go-round?

A particle starts from the origin at t = 0 with a velocity of (16 − 12 ) m/s and moves in the xy plane with a constant acceleration of = (3.0 − 6) 0 ) m/s2.What is the speed of the particle at t = 2.0 s?

A particle starts from the origin at t = 0 with a velocity of 6.0 M/s and moves in the xy plane with a constant acceleration of (−2.0 + 4) 0 ) m/s2.At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?

A space station of diameter 80 m is turning about its axis at a constant rate.If the acceleration of the outer rim of the station is 2.5 m/s²,what is the period of revolution of the space station?

A particle starts from the origin at t = 0 with a velocity of (16 − 12 ) m/s and moves in the xy plane with a constant acceleration of = (3.0 − 6) 0 ) m/s².What is the speed of the particle at t = 2.0 s?

A particle starts from the origin at t = 0 with a velocity of 6.0 M/s and moves in the xy plane with a constant acceleration of (−2.0 + 4) 0 ) m/s².At the instant the particle achieves its maximum positive x coordinate,how far is it from the origin?