A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is 2.05\times 10^{4} m/s^2, and 1.75 ms \left(1\:ms=10^{-3}\:s\right) elapses from the time the ball first touches the mitt until it stops, what was the initial velocity of the ball?

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Lanuel

The initial velocity of this ball is equal to 38.85 m/s.

What is deceleration?

Deceleration can be defined as a negative rate of change of velocity of a physical object with respect to time. This ultimately implies that, deceleration connotes a decrease in the velcoity of an automobile vehicle.

What is velocity?

Velocity can be defined as the distance covered by an object per unit of time. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction. Also, velocity can be measured as meter per seconds.

How to determine the initial velocity of this ball?

In order to determine the initial velocity of this ball, we would apply the first equation of motion:

V = U + at

U = V - at

U = 0 - (-2.10 × 10^4 × 1.85 × 10^{-3})

Initial velocity, U = 38.85 m/s.

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Complete Question:

A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is 2.10 × 10^4 m/s2, and 1.85 ms (1 ms = 10^-3 s) elapses from the time the ball first touches the mitt until it stops, what was the initial velocity of the ball?

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