The fastest measured pitched baseball left the pitcher's hand at a speed of 42.0 m/s. If the pitcher was in contact with the ball over a distance of 1.50 m and produced constant acceleration, (a) what acceleration did he give the ball, and (b) how much time did it take him to pitch it?

Respuesta :

Answer:

The acceleration and time are 588 m/s² and 0.071 sec respectively.

Explanation:

Given that,

Speed = 42.0 m/s

Distance = 1.50 m

(a). We need to calculate the acceleration

Using equation of motion

[tex]v^2=u^2+2as[/tex]

[tex]a=\dfrac{v^2-u^2}{2s}[/tex]

Put the value in the equation

[tex]a=\dfrac{42.0^2-0}{2\times1.50}[/tex]

[tex]a=588\ m/s^2[/tex]

(b). We need to calculate the time

Using equation of motion

[tex]v = u+at[/tex]

[tex]t=\dfrac{v-u}{a}[/tex]

[tex]t=\dfrac{42.0-0}{588}[/tex]

[tex]t=0.071\ sec[/tex]

Hence, The acceleration and time are 588 m/s² and 0.071 sec respectively.