Answer:
The velocity would be - 91 ft/sec.
Step-by-step explanation:
Given,
The function that shows the position of the ball after t seconds,
[tex]s(t) = -16t^2 + 5t + 200[/tex]
Since, velocity is the changes in position with respect to time,
That is, if v(t) is the velocity of the ball after t second,
[tex]\implies v(t)=\frac{d}{dt}(s(t))[/tex]
[tex]=\frac{d}{dt}(-16t^2 + 5t + 200)[/tex]
[tex]=-32t+5[/tex]
Hence, the velocity after 3 seconds is,
[tex]v(3)=-32(3)+5=-96+5=-91\text{ ft per seconds}[/tex]
