Question

If an object is shot upward with an initial velocity, vo, in feet per second (fu/s), the velocity, v, in fus is given by the formula v = vo - 321,where ris time in seconds. Find the initial velocity of an object if the velocity after 2 seconds is 38 ft/s.

Answer 1

The final velocity function is given to be:

$v=v_0-32t$$\begin{gathered} We\text{ are to find the initial velocity;} \\ v_0,\text{ given final velocity v to be 38ft/s and time t to be 2secs} \end{gathered}$

Thus, we have:

$\begin{gathered} v=v_0-32t \\ 38=v_0-32(2) \\ 38=v_0-64 \\ 38+64=v_0 \\ 102=v_0 \\ v_0=102\text{ft/s} \end{gathered}$

Hence, the initial velocity of the object is 102ft/s