Two identical rubber balls, P and Q, are projected vertically upward from the same point one after the other. Ball P is thrown with an initial speed of 8m/s while ball Q is thrown with an initial speed of 12m/s. Assume g=10m/s2.
a. (i) Calculate the maximum height reached by each ball above the point of projection.
b. (ii) Find the ratio of the maximum heights HQ:HP reached by balls Q and P.
c. (iii) Determine the ratio of the times taken to reach their respective highest points tQ:tP.