Question

A cheetah starts from, rest, and accelerates at 2 m/s² for 10 seconds. Calculate :
(a) the final velocity
(b) the distance travelled.

Answer 1

We have to find the distance travelled by the cheetah. We have the following information given,
So, initial velocity, (u) = 0 m/s
Acceleration, (a) = 2 m/s²
Time taken, (t) = 10 s
(a) So, we can find the final velocity using the relation, v = u + at
 Final velocity,
v = 0 + (2) (10)
   = 20 m/s
 
(b) We can calculate the distance travelled by cheetah using the 2^nd equation of motion,
`s = ut + 1/2 at^2`
Put the values in above equation to find the distance travelled
`(s) = 0(10) + 1/2(2)(10)^2`
= 100 m