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If a baseball is thrown upward with a speed of 36.6 m/s:

1. How high will it go?
2. How long will it take to reach the top of its trajectory?

Answer :

Answer: 68.345m and 3.735s

Explanation:

Using what we know, we can solve for time using the equation vf=vi+at

(0m/s)=(36.6m/s)+(-9.8m/s²)t

t=3.735s

vf in this case is equal to zero because max height is where the ball changes directions (initially moves up, reaches max height, falls back down) and acceleration equals -9.8m/s² because it is Earth's gravitational acceleration

We can solve for Δy by using the equation vf²=vi²+2aΔy OR Δy=(1/2)at²+(vi)t

using the first equation: (0m/s)²=(36.6m/s)²+2(-9.8m/s²)Δy

Δy=68.345m

using the second equation: Δy=(1/2)(-9.8m/s²)(3.735s)²+(36.6m/s)(3.735s)

Δy=68.345m

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Rewritten by : Jeany