Question

A motorbike brakes from 30 m/s to a stop over a distance of 150 m. how much time does it takes the bike to stop?

Answer 1

Step-by-step explanation:

QUESTION ASKED -

A motorbike brakes from 30 m/s to a stop over a distance of 150 m. how much time does it takes the bike to stop?

FORMULA USED HERE -

Velocity ( v ) = distance ( s) / time taken ( t)

METHOD TO SOLVE -

Just by using the above formula and substituting the value of each term according to find out the actual result.

SOLUTION :

( V) = 30 M/S

( S) = 150 M

( T ) = ?

according To formula,

v = s/t

30m/s = 150m/t

t = 150m/ 30m/s

t = 5 second

Therefore, the required time to stop motorbike is 5 seconds.

Answer 2

Given :

• Initial velocity = 30 m/s

• Final velocity = 0 m/s

• Distance = 150 m

To Find :

• Time taken by bike to be stop

Solution :

First we have to find acceleration of the bike

★ v² - u² = 2as

⇒ 0² - ( 30 )² = 2 × a × 150

⇒ - 900 = 300a

⇒ a = - 900 / 300

⇒ a = - 3 m/s²

Now time taken by bike is

★ v = u + at

⇒ 0 = 30 + ( - 3 ) × t

⇒ - 30 = - 3t

⇒ t = - 30 / - 3

⇒ t = 10 s

Bike takes 10 second to be stop