the car starts from rest and moves along the axis with constant acceleration 10 metre per square second for 2 second what distance will it cover
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Answer:
the distance is 20 meter guy.
hope I helped you.
use: s=ut+1/2 at^2
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✠Given :-
- Car starts from rest
- Acceleration of the body is 10m/s²
- Time taken of the body is 2 seconds
i.e ,
- u = 0 [initial velocity]
- a = 10m/s²
- t = 2 seconds
✠To find :-
- Distance covered by the body
✠Solution :-
We can find the distance covered by the body in various methods
✠Method - 1:-
By using the equations of motion ,
s = ut +1/2 at²
- s = distance covered
- u = initial velocity
- a = acceleration
- t = time taken
Substituting the values ,
s = ut +1/2 at²
s = (0)(2) +1/2 (10)(2)²
s = 0 +1/2 10(4)
s = 1/2 (40)
s = 40/2
s = 20m
So, the distance covered is 20m
__________________
✠Method -2 :-
We also have some formulae to calculate distance covered
✠v² - u²/2a =s
- u = initial velocity
- a = acceleration
- s = distance covered
But , Here we dont know the final velocity (v) Firstly we calculate final velocity then we calculate distance covered by using this formula v² - u²/2a = s
We have formulae to calculate final velocity that is
✠v = u+at
Substituting the values
v = (0) +(10)(2)
v = 0+20
v = 20m/s
So, final velocity is 20m/s
✠Distance covered (s) = v² - u²/2a
s = (20)²- (0)²/2(10)
s = 400-0/20
s= 400/20
s = 20 m
So, the distance covered is 20m
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