Question

A baseball player hits a home run. A spectator observes the trajectory of the ball and expresses the height of the ball using the equation s(t)= -(t-15) + 225. Calculate the instantaneous velocity of the ball at t=4 seconds where the distance is measured in meters.

A. 44 m/sec
B. 30 m/sec
C. 26 m/sec
D. 22 m/sec

Answer 1

The appropriate solution is Option D (22 m/sec).

Explanation:

The given equation is:

`s(t)= -(t-15)^2 + 225`

Now,

The instantaneous velocity at t = 4 will be:

=
`[-2(t-15)(1)+0]`

=
`-2(4-15)`

=
`-2* (-11)`

=
`22 \ m/sec`

Thus, the above is the correct option.