Question

A football is kicked up into the air. Its height, H, above the ground, in meters, at t seconds can be modelled by () = 24 − 4.9^2
(a) Determine the expression for the instantaneous rate of change in height at time t.
(b) Determine ' (2) What does ' (2) represent?

Answer 1

Correct question is;

A football is kicked up into the air. Its height, H, above the ground, in meters, at t seconds can be modelled by () = 24 − 4.9²

(a) Determine the expression for the instantaneous rate of change in height at time t.

(b) Determine ' (2) What does ' (2) represent?

Answer:

A) '() = 24 − 9.8

B) '(2) = 4.4 m/s

It means that at a distance of 2 m above the ground, the speed of the ball is 4.4 m/s

Step-by-step explanation:

We are given the function to represent the height as;

() = 24 − 4.9²

A) expression for the instantaneous rate of change in height at time t will be gotten by differentiation of the height function. Thus;

'() = 24 − 9.8

B) '(2) = 24 - 9.8(2)

'(2) = 4.4 m/s

This means that at a distance of 2 m above the ground, the speed of the ball is 4.4 m/s