when a car driver traveling at a speed of 10 meter per second applies break and bring the car to rest in 20 seconds then the acceleration will be
Answers
CORRECT QUESTION :-
★ A car driver travelling car at a speed of 10 m/s applies break and bring the car to rest in 20 seconds the the Acceleration will be.
GIVEN :-
- Initial velocity , u = 10 m/s.
- Final velocity , v = 0 m/s. [Breakers are applied]
- Time , t = 20 seconds.
TO FIND :-
- The Acceleration , a.
SOLUTION :-
→ Change in velocity = Final velocity - Initial velocity.
→ v - u
→ 0 m/s - 10 m/s
→ -10 m/s.
Now as we know that,
→ Acceleration = Change in velocity/time
→ a = v - u/t
→ a = -10/20
→ a = -1/2 m/s².
Note :- The negative sign (- ve) indicates retardation of Acceleration.
Hence the acceleration of car will be (-1/2) m/s².
Explanation:
Given:
Initial velocity, u = 10 m/s
Final velocity,,v = 0 m/s
Time taken = 20 second
To be calculated:
Calculate the retardation ( negative acceleration) ?
Formula used:
Acceleration = v - u / t
Solution:
We know that,
Acceleration = v - u / t
Substituting the values in the above formula, we get
Acceleration = 0 - 10 / 20
= -10 / 20
= -1 / 2
= -0.5 m/s²
Thus, the acceleration of the car is - 0.5 m/s². it is negative in sign ,but the negative acceleration is known as retardation.