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Answer:
The object's velocity at t = 7 is -16 ft/s
The maximum height is 832 ft and it occurs when
Step-by-step explanation:
From the information given, the equation of motion of the object is
For any equation of motion s(t), the instantaneous velocity at time t is given by
(a) To find the object's velocity at t = 7, you must:
Next, we evaluate when t = 7
The object's velocity at t = 7 is -16 ft/s
(b) <em>To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the</em><em> critical points.</em>
To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.
Next, we substitute this value into the equation of motion to find the maximum height
The maximum height is 832 ft and it occurs when