Answer:
The Maximum Height reached by the rocket is 456.1 feet
Step-by-step explanation:
In order to calculate the maximum height reached by the rocket we would have to calculate first the derivative of y=-16x^2+147x+118 as follows:
derivative of y=-16x^2+147x+118=y'=dy/dx=d/dx(-16x^2+147x+118)
y'=-32x+147
Therefore, x=147/32
x=4.59375
Therefore, the maximum height reached by the rocket=-16*4.59375^2 + 147*4.59375 + 118
The maximum height reached by the rocket=456.1
The Maximum Height reached by the rocket is 456.1 feet