The apollo's chariot, a rollercoaster at busch gardens, moves at 101 feet per second. The equation of the ride can be represented by the equation h(t)=-16t^2+101t+10. What is the maximum height reached by this ride?

Maximum height reached = -602.1 feet

Step-by-step explanation:

Maximum height is attained at final velocity, v = 0 feet per second

Initial velocity, u = 101 feet(ft) per second(s) = 101ft/s (given)

Assume acceleration due to gravity, g =

Using the first equation of motion, v = u + at

a = -g since the rollercoaster is moving upwards (-) and will be under the influence of gravity g.

Therefore, v = u - gt

v + gt = u

gt = u - v

Divide both sides by g

At t = 10.1s, a maximum height will be reached

h(10.1s) ≅ -602.1 ft

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step-by-step explanation:

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