The maximum height of an object is the greatest height the object can reach. The maximum height the rocket reaches is 40.2 feet
<h3>Vertex form of an equation</h3>
The maximum height of an object is the greatest height the object can reach. Given the equation that represent the height of the rocket.
f(t) = -15t² + 48t
The maximum height of the rocket occur at the point where:
t = -b/2a
t = -48/2(-15)
t =48/30
t = 1.6secs
Substitute t = 1.6 into the function as shown:
f(1.6) = -15(1.6)² + 48(1.6)
f(1.6) = -38.4 + 76.8
f(1.6) = 40.2
Hence the maximum height the rocket reaches is 40.2 feet
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