a car travels with a uniform velocity of 55ms-1 for 10s. the breaks are then applied and the car is uniformly retarded and comes to rest in further 20s find the distance which the car travels before the brakes are applied and the retardation
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Answers
Answered by
9
Given :-
- A car travels with a uniform velocity of 55ms-1 for 10s. the breaks are then applied and the car is uniformly retarded and comes to rest in further 20s
To find :-
- The distance which the car travels before the brakes are applied and the retardation
Solution :-
- Speed = 55m/s
- Time = 10s
As we know that
→ Distance = speed × time
→ Distance = 55 × 10
→ Distance = 550m
Hence, distance which the car travels before the brakes are applied is 550m
- Initial velocity (u) = 55m/s
- Final velocity (v) = 0 (brakes applied)
- Time (t) = 20s
According to the first equation of motion
→ v = u + at
Put the value of v, u and t
→ 0 = 55 + a × 20
→ 20a = - 55
→ a = -55/20
→ a = - 2.75m/s²
- Minus shows retardation of car
Therefore,
- Retardation of car is 2.75m/s²
More to know :-
- v² - u² = 2as (Third equation of motion)
- s = ut + ½ at² (Second equation of motion)
Answered by
14
Given :-
- Speed = 55m/s.
- Time with uniform velocity = 10 seconds.
- Time when car is retarded and has come to rest = 20 seconds.
- Initial Velocity = 55m/s.
- Final Velocity = 0m/s.
To Find :-
- Distance Traveled and Retardation.
Solution :-
We know that,
Distance = Speed × Time.
Put the values.
⇢ Distance = 55 × 10.
⇢ Distance = 550m.
Now, Calculating Acceleration.
v = u + at.
Put the values.
⇢ 0 = 55 + 20a.
⇢ 20a = -55.
⇢ a = -55/20.
⇢ a = -2.75 m/s²
Hence, These are your required answers.
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