A bike is moving with a
velocity of 60m/s.The bike rider
applies break to produce a
uniform acceleration of -3 m/s2.
How far will the bike go before it
stops?
Answers
Answer:
600 meters.
Explanation:
u = 60 m/s
v = 0 m/s
a = -3 m/s^2
s = ?
using the equation v^2 = u^2 + 2as
0 = 3600 - 6s
s = 600 meters.
So, he moves 600 meters before the bike stops.
Please mark it as brainliest.
Given :-
- Initial velocity, u = 60 m/s
- Retarded acceleration, a = -3 m/s²
To calculate :-
Distance travel before stopping ???
Solution :-
As the brakes are applied by the rider that means final velocity of the bike (v) would be = 0
Given, Retarded acceleration (a) = -3 m/s²
Here, negative sign indicates that the acceleration applied will bring the bike to the rest.
Now,
By using the laws of motion of equation
= v² - u² = 2as
Where,
s is total distance covered
v is the final velocity
a is the acceleration and
u is the initial velocity
After putting all the values;
==> 0 - 60² = 2 × (-3) × s
==> 0 - 60 × 60 = 2×(-3) × s
==> -3600 = -6s
After cancelling the negative sign;
==> s = 3600/6
==> s = 600m