a baseball pitcher throws a baseball with a speed of 38m/s. estimate the average acceleration of the ball during the throwing motion,. in throwing the baseball, the pitcher accelerates the ball through a displacement of about 3.5 m from behind the body to hthe point where it is released.
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To estimate the average acceleration of the ball during the throwing motion, we can use the following formula:
Average acceleration (a) = Change in velocity (Δv) / Time taken (Δt)
In this case, we know the initial velocity (vi) of the ball is 0 m/s (since the ball starts from rest), and the final velocity (vf) of the ball is 38 m/s. The displacement of the ball (s) is given as 3.5 m.
First, let's calculate the time taken (Δt) using the following kinematic equation:
vf = vi + at
Substituting the values, we get:
38 m/s = 0 m/s + a * Δt
Simplifying the equation, we find:
Δt = 38 m/s / a
Next, let's calculate the change in velocity (Δv) using the formula:
Δv = vf - vi
Substituting the values, we get:
Δv = 38 m/s – 0 m/s
Simplifying the equation, we find:
Δv = 38 m/s
Now we can substitute the values of Δv and Δt into the formula for average acceleration:
a = Δv / Δt
Substituting the values, we get:
a = 38 m/s / (38 m/s / a)
Simplifying the equation, we find:
a = a
Therefore, the average acceleration of the ball during the throwing motion is equal to the acceleration itself, and we cannot estimate it without further information.