A solid sphere starts from rest and rolls without slipping a distance of 8 m down a roof that is inclined at 25˚. The roof’s edge is 5 m high from the ground. How far horizontally from the roof’s edge does the sphere hit the ground?
A ball is thrown from ground level vertically upwards with an initial velocity of vi. Draw a velocity-time graph of the ball’s motion. Consider collisions with the ground are absolutely elastic and neglect air resistance.
A passenger is late for a train. He stood at a railway station while the accelerating train passed him car by car. The passenger noticed that the last train car passed him for 8 seconds and the previous train car for 10 seconds. How long was the passenger late for the train? You should consider that the train moved with uniform acceleration and the length of the train cars is the same.
A bomber flies with a constant velocity of 50 m/s horizontally and wants to hit a target traveling 20 m/s (same direction) on a highway 1000 m below. What is the horizontal distance of the bomber from the target so that a bomb released from it will hit the target?
One stone is thrown upwards from a point on the ground with an initial velocity v1 and simultaneously another stone is dropped from a height. They reach the ground at the same instant. Compare the velocities which they have attained.
An airline passenger drops a coin while the plane is moving horizontally at 240 m/s. What is the velocity of the coin relative to the plane and relative to the Earth when it strikes the floor 1 m below its point of release?