a car from rest and pick up a velocity of 54m/h in ten seconds. calculate the acceleration of the car?
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Answered by
46
◑Answer :-
1.5 m/s²
◑Given :-
- Car from rest (Initial velocity = 0)
- Final velocity = 54km/hr
- time taken = 10 seconds
i.e
- u = 0
- v = 54 km/hr
- t = 10 seconds
◑To find :-
- Acceleration of the body
◑Solution:-
Acceleration is defined as change in velocity per unit time is called acceleration thus according to definition,
Acceleration = Change in velocity/Time
A = final velocity- Initial velocity/ Time
a = v- u/t
As the final velocity is 54km/hr Lets convert into m/s
1km/hr = 5/18 m/s
54 km/hr = 54 × 5/18
= 3× 5
= 15 m/s
So,
54km/hr = 15m/s
So,
- Final velocity (v) = 15m/s
- Initial velocity(u) = 0m/s
- Time(t) = 10 sec
Substituting the values,
a = v- u/t
a = 15-0/10
a = 15/10
a = 1.5 m/s²
◑So, acceleration of the body is 1.5m/s²
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Know more some formulae:-
- v = u + at
- s = ut + ½at²
- v² - u² = 2as
- u = v-at
- s = vt-½at²
- a = F/M
where,
v = Final velocity
u = Initial velocity
s = Distance covered
a = acceleration
F = force
M = mass of the body
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