Question

If an object is shot upward with initial velocity (V_{0}) per second philosophy and be per second is given by the formula (V = V_{0} - 32t), where (t) is time in seconds, find the initial velocity of an object if the loss after four seconds is (33 , {ft/s}).

Answer 1

To find the initial velocity of an object with a known change in velocity due to gravity after a certain time, the equation V = V0 - 32t is used. By rearranging and plugging in the loss of velocity and the time, the initial velocity is calculated as 161 ft/s.

Step-by-step explanation:

The student is tasked with finding the initial velocity of an object that experiences a change in velocity due to the acceleration of gravity. With an equation provided that describes a velocity change over time, the student must work backwards to determine the initial velocity using the given loss in velocity after a specific time.

Given the velocity equation V = V0 - 32t where V is the final velocity, V0 is the initial velocity, and t is time in seconds, we can begin to solve the problem. After four seconds, the velocity loss is 33 ft/s, so the equation can be rearranged to V0 = V + 32t. Plugging in the values, we get V0 = 0 + 32(4) + 33, which gives us an initial velocity V0 = 161 ft/s.