Complete Question:
In the 1992 Summer Olympics, the German four-man kayak team covered 1 km in just under 3 minutes. Suppose that between the starting point and the 150 m mark the kayak steadily increases its speed from 0.0m/s to 6.0 m/s, so that its average speed is 3.0 m/s.
part a- how long does it take to cover the 150 m?
part b- What is the magnitude of the average acceleration during that part of the course?
Answer:
a. To cover the 150 m mark, it takes 50 s.
b. The magnitude of average acceleration during 0 to 150 m part is 0.12 m/s².
Explanation:
a. Time taken to cover the first 150 m = t = ?
Average speed = v = 3 m/s
Distance = S = 150 m
We know that;
v = S/t
Rearranging this equation, we get:
t = S/v
t = 150/3
t = 50 s
b. average acceleration till 150 m = a = ?
We know that acceleration is given by rate of difference of initial and final velocity:
a = (final velocity - initial velocity)/t
a = (6 - 0)/50
a = 0.12 m/s²