A baseball pitcher delivers a pitch by exerting an average force of 15 N for a time interval of 0.42 s. How much impulse does he impart to the ball ?

6.3Ns

Explanation:

Impulse can be calculated by using the formula as follows:

I = F × ∆t

Where;

I = impulse (Ns)

F = Force exerted (N)

∆t = change in time (s)

According to the information provided in the question, I = ?, F = 15N, ∆t (time interval) = 0.42s

I = 15 × 0.42

I = 6.3Ns

1.67s

Explanation:

Given parameters:

Initial velocity  =  20m/s

Acceleration  = 6m/s²

Final velocity  = 30m/s

Unknown:

Time taken  = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically expressed as;

 Acceleration =  

v is the final velocity

u is the initial velocity

 t is the time taken

            6  =  

            6  =  

              10  = 6t

              t  = 1.67s