Assuming constant velocities, if a fastball pitch is thrown and travels at 40 m/s toward home plate, 18 m away, and the head of the bat is simultaneously traveling toward the ball at 18.0 m/s, how much time elapses before the bat hits the ball? a. About 0.3 sb. About 0.6 sc. About 0.9 sd. About 1.2 s

Question

Caroline

Physics

26 June, 19:34

Assuming constant velocities, if a fastball pitch is thrown and travels at 40 m/s toward home plate, 18 m away, and the head of the bat is simultaneously traveling toward the ball at 18.0 m/s, how much time elapses before the bat hits the ball? a. About 0.3 sb. About 0.6 sc. About 0.9 sd. About 1.2 s

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Answers (1)

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Carissa Beard · Answer 1

Option A is the correct answer.

Explanation:

Here velocity of ball and bat are in opposite direction.

Velocity of ball = 40 m/s

Velocity of bat = 18 m/s

Since they are in opposite direction relative velocity is given by,

Relative velocity = 40 + 18 = 58 m/s

Distance to home plate = 18 m

We have

Displacement = Velocity x Time

18 = 58 x Time

Time = 0.3 seconds

Option A is the correct answer.