Two runners start at the same point on a straight track. The first runs with a constant acceleration so that he could run 100 yards in 10 seconds. The second runner waits 5 seconds and then throws a rock at his opponent's head. If the head is 5 feet from the ground and the rock starts 5 feet from the ground, what must the initial velocity vector be if the rock is to meet the head just at the 100 yard tape?

Two runners start at the same point on a straight track. The first runs with a constant acceleration so that he could run 100 yards in 10 seconds. The second runner waits 5 seconds and then throws a rock at his opponent's head. If the head is 5 feet from the ground and the rock starts 5 feet from the ground, what must the initial velocity vector be if the rock is to meet the head just at the 100 yard tape?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section5.1: Vectors

Problem 3PP

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Two runners start at the same point on a straight track. The first runs with a constant acceleration so that he could run 100 yards in 10 seconds. The second runner waits for 5 seconds and then throws a rock at his opponent's head. If the head is 5 feet from the ground and the rock starts 5 feet from the ground, what must be the initial velocity vector, |v0|, be if the rock is to meet the head just at the 100 yard tape? Report your answer in ft/s. Calculate tan(theta) and theta as well.
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