How Long Does a Pitch Take to Reach Home Plate?

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AI Thread Summary
The discussion focuses on calculating the time it takes for a pitch to reach home plate, specifically comparing a 92 mph cut-fastball, an 81 mph changeup, and a 67 mph knuckleball. The initial attempt at the solution incorrectly applies acceleration in the formula, leading to confusion in the calculations. It emphasizes that, under the assumption of no air resistance, acceleration should be zero, and the correct formula should only involve constant velocity. The algebraic steps presented are critiqued for combining terms improperly. Accurate calculations are essential for determining the time for each pitch type to reach home plate.
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Homework Statement


If Mariano throws a 92mph cut-fastball to David Ortiz and strikes him out, how long does it take for the pitch to get to home plate? Compare this to a 81 mph changeup and a 67mph knuckle ball.

Homework Equations


d= v1*t+1/2(a)(t^2)

3. The Attempt at a Solution
d=0*t+1/2(92)(t^2)
d=0*t+46t^2
d=t^3+46
d/t^3=46
 
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Mph indicates a speed (velocity) toward the plate. In you attempts, you have it in the acceleration place.
Assume no air resistance and acceleration should be 0.
 
evelinm said:

Homework Statement


3. The Attempt at a Solution [/B]
d=0*t+1/2(92)(t^2)
d=0*t+46t^2
d=t^3+46
d/t^3=46
Those last two steps are not allowed. You can't randomly combine terms Review your algebra.
 

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