Question

A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/4 t^2 predicted the instantaneous velocity after eight seconds

Answer 1

its d

Explanation:

plato

Answer 2

The instantaneous velocity after eight seconds is 9 m/s

Explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) =
`10 + 5t + (1)/(4)t^(2)`

Now, The instantaneous velocity after 8 sec =
`(\partial h(t))/(\partial t)`

Or, The instantaneous velocity =
`(\partial (10 +5t + (1)/(4)t^(2)))/(\partial t)`

or, The instantaneous velocity =
`5 + (1)/(4)* 2 t`

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s Answer