4. Tennis ball A is released from rest 50 meters above the ground. Tennis ball B...
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4. Tennis ball A is released from rest 50 meters above the ground. Tennis ball B is thrown upwards with an initial speed of 15 meters per second from a height of 5 meters above the ground. B is directly below A and A is dropped at the exact moment that B is thrown upwards. a) How long will it take for the tennis balls to collide? b) What is the velocity of each tennis right before the collision? In particular, which way is B moving? c) When they collide, what is their height above the ground and what is the total distance traveled by each ball? d) Now suppose the initial speed of B is unknown (but everything else is the same). Suppose A and B collide when B is at its maximum height above the ground. What was the initial speed of B? e) Let's again suppose the initial speed of B is unknown (but everything else is the same). What is the maximum initial speed of B such that B reaches the ground before it comes into contact with A? 4. Tennis ball A is released from rest 50 meters above the ground. Tennis ball B is thrown upwards with an initial speed of 15 meters per second from a height of 5 meters above the ground. B is directly below A and A is dropped at the exact moment that B is thrown upwards. a) How long will it take for the tennis balls to collide? b) What is the velocity of each tennis right before the collision? In particular, which way is B moving? c) When they collide, what is their height above the ground and what is the total distance traveled by each ball? d) Now suppose the initial speed of B is unknown (but everything else is the same). Suppose A and B collide when B is at its maximum height above the ground. What was the initial speed of B? e) Let's again suppose the initial speed of B is unknown (but everything else is the same). What is the maximum initial speed of B such that B reaches the ground before it comes into contact with A?
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This problem involves kinematic equations for the motion of two objects under the influence of gravity Lets solve each part step by step a How long will it take for the tennis balls to collide For bal... View the full answer
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