Question 1

A ball is thrown horizontally from a 63.0 m high building with a speed of 32.0 m/s.What is the vertical component of the velocity when it hits the ground?

Accepted Answer

A) 35.2 m/s 
B) 47.5 m/s 
C) 32.0 m/s 
D) 65.0 m/s 
E) 24.8 m/s 
A) 35.2 m/s 
B) 47.5 m/s 
C) 32.0 m/s 
D) 65.0 m/s 
E) 24.8 m/s

Question 2

An arrow is shot at ground level with an initial speed of 50.0 m/s at an angle of 25.0S1U1P1$\circ$S1S1P0 above horizontal.What is its x-coordinate when the arrow is on the way up and its y coordinate is 5.00 m above the ground?

Accepted Answer

A) 5.44 m 
B) 11.4 m 
C) 84.3 m 
D) 184 m 
E) 203 m 
A) 5.44 m 
B) 11.4 m 
C) 84.3 m 
D) 184 m 
E) 203 m

Question 3

A movie stunt woman takes a running jump from the roof of one building to that of a lower building.She leaves the taller building traveling perfectly horizontally at 6.1 m/s and just makes it to the edge of the roof of the lower building.The horizontal gap between the buildings is 2.8 m.The difference in height between the two buildings is

Accepted Answer

A) 1.0 m. 
B) 1.4 m. 
C) 2.3 m. 
D) 2.8 m. 
E) 3.0 m. 
A) 1.0 m. 
B) 1.4 m. 
C) 2.3 m. 
D) 2.8 m. 
E) 3.0 m.

Question 4

A skier leaves a ski jump with a horizontal velocity of 24.0 m/s (and no vertical velocity component).The magnitude of the vertical component of her velocity the instant before she lands two seconds later is

Accepted Answer

A) 24.0 m/s. 
B) 0 m/s. 
C) 43.6 m/s. 
D) 19.6 m/s. 
A) 24.0 m/s. 
B) 0 m/s. 
C) 43.6 m/s. 
D) 19.6 m/s.

Question 5

An object is launched up a 30 degree slope at an angle of 20 degrees above the incline of the slope with an initial speed of 5.0 m/s.How far up the slope does the object land?

Accepted Answer

A) 1.49 m 
B) 2.36 m 
C) 3.82 m 
D) 4.98 m 
E) 2.50 m 
A) 1.49 m 
B) 2.36 m 
C) 3.82 m 
D) 4.98 m 
E) 2.50 m

Question 6

A plane,diving at an angle of 37S1U1P1$\circ$S1S1P0 below the horizontal,releases a projectile at an altitude of 730.0 m.The projectile hits the ground 5.00 s after being released.At what angle does the projectile strike the ground?

Accepted Answer

A) 45.0S1U1P1$\circ$S1S1P0 below the horizontal 
B) 43.4S1U1P1$\circ$S1S1P0 below the horizontal 
C) 53.0S1U1P1$\circ$S1S1P0 below the horizontal 
D) 37.0S1U1P1$\circ$S1S1P0 below the horizontal 
E) 44.1S1U1P1$\circ$S1S1P0 below the horizontal 
A) 45.0S1U1P1$\circ$S1S1P0 below the horizontal 
B) 43.4S1U1P1$\circ$S1S1P0 below the horizontal 
C) 53.0S1U1P1$\circ$S1S1P0 below the horizontal 
D) 37.0S1U1P1$\circ$S1S1P0 below the horizontal 
E) 44.1S1U1P1$\circ$S1S1P0 below the horizontal

Question 7

In a cathode ray tube electrons are initially travelling horizontally at 4 *106 m/s.The horizontal distance electrons would have to travel for a vertical drop of 0.2 mm in vacuum is

Accepted Answer

A) 400 m. 
B) 1500 m. 
C) 3.8 km. 
D) 25.5 km. 
A) 400 m. 
B) 1500 m. 
C) 3.8 km. 
D) 25.5 km.

Question 8

Two boats leave the port at the same time.Boat A has a velocity of   (4î - 3ĵ)m/s and boat B has a velocity of   (3î + 4ĵ)m/s as measured by someone standing at the port (   and   are unit vectors along the x-axis and the y-axis respectively).What is the position vector of boat A as seen by a person travelling on boat B after 100 seconds has elapsed? Give your answer as magnitude and direction.

Accepted Answer

A) 707.1 m and 81.87º 
B) 707.1 m and 261.87º 
C) 424.3 m and 188.13º 
D) 126.7 m and 88.26º 
E) 989.9 m and 312.87S1U1P1$\circ$S1S1P0 
A) 707.1 m and 81.87º 
B) 707.1 m and 261.87º 
C) 424.3 m and 188.13º 
D) 126.7 m and 88.26º 
E) 989.9 m and 312.87S1U1P1$\circ$S1S1P0

Question 9

A skier leaves a ski jump with a horizontal velocity (and no vertical velocity component).If the magnitude of the horizontal component of her velocity the instant before she lands two seconds later is 15.0 m/s,what was the horizontal component of her initial velocity

Accepted Answer

A) 24.0 m/s. 
B) 19.6 m/s. 
C) 15.0 m/s. 
D) 43.6 m/s. 
E) 0 m/s. 
A) 24.0 m/s. 
B) 19.6 m/s. 
C) 15.0 m/s. 
D) 43.6 m/s. 
E) 0 m/s.

Question 10

A soccer player kicks a ball,giving it an initial velocity of 17.2 m/s in the horizontal direction and 12.0 m/s in the vertical direction.How far down the field does the ball travel before landing?

Accepted Answer

A) 84.2 m 
B) 42.1 m 
C) 81.6 m 
D) 24.0 m 
E) 37.5 m 
A) 84.2 m 
B) 42.1 m 
C) 81.6 m 
D) 24.0 m 
E) 37.5 m

Question 11

The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t2 + 155 t + 100.The speed of the particle at t = 12.9 s is

Accepted Answer

A) 0 m/s. 
B) 98.4 m/s. 
C) 296 m/s. 
D) 408 m/s. 
E) 529 m/s. 
A) 0 m/s. 
B) 98.4 m/s. 
C) 296 m/s. 
D) 408 m/s. 
E) 529 m/s.

Question 12

A boat crosses a stream which is flowing at 10.0 m/s.The driver of the boat wants to cross the river and arrive directly across the river from where he departed (point A to point B).What boat speed in m/s is needed to go directly across the river if the driver steers upstream with $\theta$ = 30.0S1U1P1$\circ$S1S1P0 as shown?

Accepted Answer

A) 7.5 
B) 10.0 
C) 15.0 
D) 20.0 
E) 25.0 
A) 7.5 
B) 10.0 
C) 15.0 
D) 20.0 
E) 25.0

Question 13

A particle moves from an initial position with coordinates x = +7.0 m,y = +2.0 m,to an intermediate position with coordinates x = +4.0 m,y = +5.0 m in a time interval of 3.0 s.The particle then moves from the intermediate position with coordinates x = +4.0 m,y = +5.0 m,to a final position with coordinates x = +1.0 m,y = +8.0 m in a time interval of 6 s.What is the magnitude of the average velocity for the total displacement?

Accepted Answer

A) 0.94 m/s 
B) 1.1 m/s 
C) 1.3 m/s 
D) 2.1 m/s 
E) 3.0 m/s 
A) 0.94 m/s 
B) 1.1 m/s 
C) 1.3 m/s 
D) 2.1 m/s 
E) 3.0 m/s

Exam 3: Motion in Two and Three Dimensions

A ball is thrown horizontally from a 63.0 m high building with a speed of 32.0 m/s.What is the vertical component of the velocity when it hits the ground?

An arrow is shot at ground level with an initial speed of 50.0 m/s at an angle of 25.0 ∘\circ∘ above horizontal.What is its x-coordinate when the arrow is on the way up and its y coordinate is 5.00 m above the ground?

A skier leaves a ski jump with a horizontal velocity of 24.0 m/s (and no vertical velocity component).The magnitude of the vertical component of her velocity the instant before she lands two seconds later is

An object is launched up a 30 degree slope at an angle of 20 degrees above the incline of the slope with an initial speed of 5.0 m/s.How far up the slope does the object land?

A plane,diving at an angle of 37 ∘\circ∘ below the horizontal,releases a projectile at an altitude of 730.0 m.The projectile hits the ground 5.00 s after being released.At what angle does the projectile strike the ground?

In a cathode ray tube electrons are initially travelling horizontally at 4 *106 m/s.The horizontal distance electrons would have to travel for a vertical drop of 0.2 mm in vacuum is

A skier leaves a ski jump with a horizontal velocity (and no vertical velocity component).If the magnitude of the horizontal component of her velocity the instant before she lands two seconds later is 15.0 m/s,what was the horizontal component of her initial velocity

A soccer player kicks a ball,giving it an initial velocity of 17.2 m/s in the horizontal direction and 12.0 m/s in the vertical direction.How far down the field does the ball travel before landing?

The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t2 + 155 t + 100.The speed of the particle at t = 12.9 s is

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An arrow is shot at ground level with an initial speed of 50.0 m/s at an angle of 25.0^$\circ$ above horizontal.What is its x-coordinate when the arrow is on the way up and its y coordinate is 5.00 m above the ground?

A plane,diving at an angle of 37^$\circ$ below the horizontal,releases a projectile at an altitude of 730.0 m.The projectile hits the ground 5.00 s after being released.At what angle does the projectile strike the ground?

In a cathode ray tube electrons are initially travelling horizontally at 4 *10⁶ m/s.The horizontal distance electrons would have to travel for a vertical drop of 0.2 mm in vacuum is

The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t² + 155 t + 100.The speed of the particle at t = 12.9 s is