During a Buckeye football game, the quarterback throws a ‘long bomb' to a wide receiver. During it's flight, the ball reached a maximum height of 15 m [U] before it started falling back down, and during this time flew 30m [E], where it was caught. The receiver then ran it another 15 m [E] for a touchdown. A) Determine the distance and displacement experienced in the up-down dimension by the ball b) Determine the distance and displacement experienced by the ball in the east-west dimension.

A) The distance traveled by the ball in the Up-down dimension is 30 m

The displacement of the ball in the up-down direction is 0 m

B) The distance the ball travels in the east west direction is 45 m [East]

The displacement of the ball is the east-west direction is 45 m [East]

Explanation:

The long measures of the ball motion are;

The maximum height reached = 15 m Up

The horizontal distance traveled by the ball during flight = 30 m East

The distance the receiver ran  with the ball after the ball was caught = 15 m East

A) The distance traveled by the ball in the Up-down dimension = 15 m up + 15 m backdown = 30 m in the up-down direction

The displacement of the ball in the up-down direction, d = 15 m + (-15 m) = 0 m

B) The distance the ball travels in the east west direction = 30 m [E] + 15 m [E] = 45 [E]

The displacement of the ball is the east-west direction, d = 30 m + 15 m = 45 m [E].