Question

A diver dives from a 10m springboard. the equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time t. When will she be at her highest?

Answer 1

Answer:

At time t = 0.408 sec diver will be at maximum height

Step-by-step explanation:

We have given equation of the height $f(t)=-4.9t^2+4t+9$

We know that velocity is the rate of change of distance with respect to time

So $v=\frac{df(t)}{dt}=\frac{df(-4.9t^2+4t+10)}{dt}=-9.8t+4+0=-9.8t+4$

At maximum height velocity will be zero

So $-9.8t+4=0$

t = 0.408 sec

So at time t = 0.408 sec diver will be at maximum height