Exam 4: Motion in Two and Three Dimensions

Two projectiles, A and B, are launched with equal initial speeds. Projectile A is launched at angle 35° and projectile B at angle 55° above the horizontal. The ratio of the acceleration of A to that of B is

A boat travels at a constant speed with respect to still water. The water is moving with respect to the bank at a speed almost as large as the speed of the boat with respect to still water. Assume a round trip of constant distance (with respect to the bank) in the boat under two scenarios: downstream, then upstream or cross-stream, then back. All of the following statements are correct except

An airplane having a speed relative to the air of 250 km/h needs to land in a city north of the departure airport when the wind blows toward the east at 40 km/h. The pilot should maintain a heading of

A school bus travels east at 10 km/h. Alex, sitting in the back of the bus throws a tennis ball at Brendan. Kyle, standing next to the road, observes the ball moving at 60 km/h south. The direction of the velocity of the ball with respect to the bus is

A boy is shooting marbles on a flatcar that is itself in uniform motion on a straight, horizontal track. The boy can shoot marbles at a speed of 30 m/s with respect to the flatcar. The speed of the flatcar with respect to the train track rails is 40 m/s. The maximum possible horizontal speed of a marble with respect to the rails is

If reference frame A is in motion with respect to reference frame B, the velocity of an object with respect to frame A

You want to aim a water gun so that the water travels the maximum horizontal distance. The angle you aim at is

A school bus travels east at 40 km/h. Alex, sitting on the left side of the bus, throws a tennis ball at 30 km/h to Brendan, who is seated on the right side of the bus, directly across from Alex. The velocity of the ball as seen by Kyle, standing next to the road, is

Consider two projectiles A and B launched at angles 30^o and 60^o from the horizontal with equal initial speeds. All of the following statements are correct except

A car travels around a curve of constant radius at a constant speed. The direction of the car's centripetal acceleration is

A ball is rolling on a table in a partial hoop (shown here as seen looking down on the tabletop). The path of the ball after it leaves the hoop is best described by which of the following arrows?

A ball leaves the hand of a boy with a velocity v and travels a horizontal range R. In a second throw, the same ball leaves the boy's hand with a velocity of 2v. Compared to the first throw, the horizontal range is

A boy runs around a circular track of constant radius at an increasing speed. The magnitude of his centripetal acceleration

A car travels due east with a speed of 40.0 km/h. Raindrops are falling at a constant speed of 30.0 km/h vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of

A pilot drops a package of food and water supplies from a plane that is flying horizontally at constant speed. When the package reaches the ground, the plane's horizontal position relative to the package

An athlete throws a javelin at four different angles (20^o, 30^o, 50^o, and 70^o) above the horizontal, all with the same initial speed. For which two angles will the javelin land at the same distance from the throwing point?

Two racquets hit two tennis balls at the same speed and angle-one on the Earth and the other on the Moon. Because the acceleration due to gravity on the Moon is six times smaller than on the Earth, the ball on the Moon would travel

A toy car, initially moving along the y axis at 5.00 m/s, is accelerated uniformly for 10.0 s at 2.00 m/s² along the x axis. The magnitude of the toy car's displacement at the end of the 10.0 s is

A car travels on a circular track with a constant speed. The acceleration of the car is

If the initial speed of a projectile is doubled, its time of flight would