Question

0.21.A cyclist starting from
rest attain a velocity of 8 m/s
in 16 seconds.Calculate the
acceleration of the bicycle."
O
2 m/ss
O 1 m/ss
0.5 m/ss
O -2 m/ss​

Answer 1

Given:

A cyclist starting from  rest attain a velocity of 8 m/s  in 16 seconds

To find:

The  acceleration of the bicycle

Solution:

Since the cycle starts from rest

∴ The initial velocity of the cycle, u = 0 m/s

The final velocity of the cycle, v = 8 m/s

Time, t = 16 seconds

Let "a" m/s² represent the acceleration of the bicycle.

To solve the given problem, we will use the 1st equation of motion which is as follows:

$\boxed{\boxed{\bold{v = u + at}}}$

where

v = final velocity

u = initial velocity

a = acceleration

t = time

Now,

Rearranging the above equation, we get

$a = \frac{v\: -\: u}{t}$

substituting the given values of u, v and t

$\implies a = \frac{8\: -\:0}{16}$

$\implies a = \frac{8}{16}$

$\implies a = \frac{1}{2}$

$\implies \bold{a = 0.5\:m/s^2}$ ← option (3)

Thus, the  acceleration of the bicycle is 0.5 m/s².

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