ANSWER:
(a) 66.1 m
(b) 3.67 s
(c) 3.67 s
(d) -36 m/s
STEP-BY-STEP EXPLANATION:
Given:
Initial velocity (u) = 36 m/s
Final velocity (v) = 0 m/s
(a)
We can calculate the height using the following formula:
[tex]\begin{gathered} h=\frac{v^2-u^2}{2g} \\ \\ \text{ We replacing:} \\ \\ h=\frac{0^2-(36)^2}{(2)(-9.8)} \\ \\ h=66.1\text{ m} \end{gathered}[/tex]
(b)
Now, we calculate the time as follows:
[tex]\begin{gathered} v=u+gt \\ \\ t=\frac{v-u}{g} \\ \\ \text{ we replacing} \\ \\ t=\frac{0-36}{-9.8} \\ \\ t=3.67\text{ s} \end{gathered}[/tex]
(c)
The time it takes for the ball to hit the ground after reaching its highest point is the same as the time it takes to reach it, which means that it is equal to 3.67 seconds
(d)
The velocity it takes to return is also the same but being in the opposite direction, it has the same magnitude but with the opposite sign, that is, with a minus sign.
So the velocity when it returns to the level it started from is -36 m/s
