Question

a circular track has a circumference of 1570m with AB as one of its diameter . a scooterist moves from A to B along the circular path with a uniform speed of 5 m/s find the a) distance covered b) displacement c)time taken for the scooterist to reach from A to B

Answer 1

A circular track has a circumference of 1570m with AB as one of its diameter. A scooterist moves from A to B along the circular path with a uniform speed of 5 m/s find the

a) distance covered

b) displacement

c) time taken for the scooterist to reach from A to B

a) Distance from A to B equals $\frac{1}{2}$ of circumference, therefore, distance covered equals:

$$d = \frac {1}{2} 1 5 7 0 = 7 8 5 m$$

Answer: 785 m

b) displacement equals length of diameter:

$$l = \pi d \Rightarrow d = l / \pi$$

l - circumference

$$d = \frac {l}{\pi} = \frac {1 5 7 0}{3 . 1 4} = 5 0 0 m$$

Answer: 500 m

c) time equals:

$$t = \frac {l}{v}$$

where, l - distance covered, v - velocity

$$t = \frac {1 5 7 0}{5} = 3 1 4 s$$

Answer: 314 s