Answer:
Step-by-step explanation:
The initial velocity, u of the obect when it was projected vertically is 90 feet per second
The acceleration of the object is 32.17405 ft/s2 which is approximately 32.2ft/s2. This is same as acceleration due to gravity.
Since the object is moving upwards, it is moving in opposite direction to the gravitational force. Therefore,
acceleration of the object, g is negative.
g = - 32.2ft/s2
u = 90 feet per second
H = the height of the object in feets
t = time in seconds
Applying newtons law of motion
H = ut + gt^2/2
H = 90t + (-32.2×t^2)/2
H = 90t - 16.1t^2
H = - 16.1t^2 + 90t^2
The function is
f(t) = - 16.1t^2 + 90t^2
