Question

A diver dives from a 10 meter springboard. The equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time in seconds.What is her height at 1.5 seconds after diving off the springboard?

Answer 1

The equation modelling the height of the diver at time of t seconds is expresed as

f(t) = - 4.9t² + 4t + 10

To find the height at t = 1.5, we would substitute t = 1.5 into the function. We have

f(1.5) = - 4.9(1.5)² + 4(1.5) + 10

f(1.5) = - 11.025 + 6 + 10

f(1.5) = 4.975

Her height at 1.5 seconds after diving off the springboard is 4.975 meters