A body starts with an initial velocity of 10 ms-1 and acceleration 5ms-2 find distance covered bi it in 5s
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Sorry friend I am compelled to answer the question from picture.
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hiii!!!
here's ur answer...
given :-
u (initial velocity) = 10ms^-1
a (acceleration) = 5ms^2
t (time taken) = 5s
we can solve it by two methods.. first we can find it's final velocity and can use third equation (2as=v²-u²) or second equation (ut+1/2at²) without finding it's final velocity (v)
we know that a = v-u/t
==> 5ms^-2 = ( v - 10 ) / 5
==> 5 × 5 = v - 10
==> 25 = v - 10
==> 25 + 10 = v
==> 35 = v
hence, final velocity of the body is 35 ms^-1
by using third equation 2as = v² - u² (s=distance)
=> 2 × 5 × s = 35² - 10²
=> 10s = 1225 - 100
=> 10s = 1125
=> s = 1125/10
=> s = 112.5 m
hence, the distance covered by the body in 5secs is 112.5m
now, we will find the distance by using second equation s = ut+1/2at²
=> s = ( 10 × 5 ) + 1/2 × 5 × 5²
=> s = 50 + 5/2 × 25
=> s = 50 + 125/2
=> s = 50 + 62.5
=> s = 112.5 m
hope this helps..!!
here's ur answer...
given :-
u (initial velocity) = 10ms^-1
a (acceleration) = 5ms^2
t (time taken) = 5s
we can solve it by two methods.. first we can find it's final velocity and can use third equation (2as=v²-u²) or second equation (ut+1/2at²) without finding it's final velocity (v)
we know that a = v-u/t
==> 5ms^-2 = ( v - 10 ) / 5
==> 5 × 5 = v - 10
==> 25 = v - 10
==> 25 + 10 = v
==> 35 = v
hence, final velocity of the body is 35 ms^-1
by using third equation 2as = v² - u² (s=distance)
=> 2 × 5 × s = 35² - 10²
=> 10s = 1225 - 100
=> 10s = 1125
=> s = 1125/10
=> s = 112.5 m
hence, the distance covered by the body in 5secs is 112.5m
now, we will find the distance by using second equation s = ut+1/2at²
=> s = ( 10 × 5 ) + 1/2 × 5 × 5²
=> s = 50 + 5/2 × 25
=> s = 50 + 125/2
=> s = 50 + 62.5
=> s = 112.5 m
hope this helps..!!
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