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?

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 v_A from A to B,and at constant speed v_B 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

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?