Answer:
1194.88m
Step-by-step explanation:
Given the maximum height of the rocket modelled by the expression
y=-16x^2+261x+130
The rocket velocity at its maximum height is zero.
v(x) = dy/dx = 0
dy/dx = -32x + 261
0 = -32x + 261
32x = 261
x = 261/32
x= 8.156secs
Substitute the time into the given expression'
y=-16(8.16)^2+261(8.16)+130
y = -1,064.88 + 2,129.76 + 130
y = 1194.88
Hence the maximum height reached by the rocket is 1194.88m
