Exam 4: Motion in Two Dimensions

At the lowest point in a vertical dive (radius = 0.58 km),an airplane has a speed of 300 km/h which is not changing.Determine the magnitude of the acceleration of the pilot at this lowest point.

A particle moves in the xy plane in a circle centered on the origin.At a certain instant the velocity and acceleration of the particle are 6.0 M/s and (3.0 + 4)0 )m/s².What are the x and y coordinates of the particle at this moment?

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). -While the gondola is rising at a speed of 5.0 m/s,a passenger in a balloon-supported gondola throws a small ball up at a speed of 2.0 m/s relative to his body.A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is

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

Wiley Coyote has missed the elusive roadrunner once again.This time,he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep,how far from the edge of the cliff does the coyote land?

A car travels counterclockwise around a flat circle of radius 0.25 km at a constant speed of 20 m/s.When the car is at point A as shown in the figure,what is the car's acceleration?

A 0.20-km wide river has a uniform flow speed of 4.0 m/s toward the east.It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank.In what direction must the boat be pointed in order to accomplish this?

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 change in velocity, ,at point B,is shown by the arrow in

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). -While the gondola is rising at a speed of 2.0 m/s,a passenger in a balloon-supported gondola throws a small ball down at a speed of 5.0 m/s relative to his body.A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is

A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s.What is the magnitude of the acceleration of the race car?

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

Car A leaves point O at t = 0 and travels a quarter circle counterclockwise at 30.0 m/s to point P.Car B will leave point O and travel to point P at the same speed but in a straight line.The radius of the circle is 100 m.At what time should car B leave point O in order to arrive at point P at the same time as car A?

A 0.14-km wide river flows with a uniform speed of 4.0 m/s toward the east.It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank.What is the speed of the boat relative to the water?

In a location where the train tracks run parallel to a road,a high speed train traveling at 60 m/s passes a car traveling at 30 m/s.How long does it take for the train to be 180 m ahead of the car?

A projectile starts at the coordinate origin,where the displacement vector also originates.The initial velocity,v₀,makes an angle θ₀ with the horizontal where 0 < θ₀ < 90°.At the instant when the projectile is at the highest point of its trajectory,the displacement,velocity and acceleration vectors are , And )Which statement is true?

Jane plans to fly from Binghampton,New York,to Springfield,Massachusetts,about 280 km due east of Binghampton.She heads due east at 280 km/h for one hour but finds herself at Keene,which is 294 km from Binghampton in a direction 17.8 degrees north of due east.What was the wind velocity?

The vector Indicates the instantaneous displacement of a projectile from the origin.At the instant when the projectile is at ,its velocity and acceleration vectors are And )Which statement is correct?

A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal.How long is he in the air before returning to Earth?

A car travels in an oval path as shown below. = 25 m/s,West,and = 20 m/s,North.The ratio of the magnitude of the centripetal acceleration at B to that at A, ,is:

A rifle is aimed horizontally at the center of a large target 60 m away.The initial speed of the bullet is 240 m/s.What is the distance from the center of the target to the point where the bullet strikes the target?