Problem 19.

A speedboat increases its speed uniformly from 20 m/s to 30 m/s in a distance of 200m. Find

(a) the magnitude of its acceleration and

(b) the time it takes the boat to travel the 200-m distance.

Solution:

(a) This is the motion with constant acceleration. We can use the following equation to find the magnitude of acceleration

where , , . Then

(b) We can find the time of the travel from the following equation: