Answer:
At 7 seconds the instantaneous rate of change of the function s(t) with time which is the velocity is -11.18 m/s
Step-by-step explanation:
The given information on the height can be written as follows;
s(t) = -2.72·t² + 26.9·t + 6
Where;
s = The height (displacement) of the golf ball
t = The time taken during the motion of the golf ball
The velocity is found by finding the derivative of the displacement s as follows;
v = d(s(t))/dt = d(-2.72·t² + 26.9·t + 6)/dt = 2×(-2.72)×t + 26.9
When t = 7, v = 2×(-2.72)×7 + 26.9 = -11.18 m/s
Therefore the ball is coming down with 11.18 m/s speed at 7 seconds.
