the initial velocity of a body moving along a straight line is 7 m s - 1 it has a uniform acceleration of 4 m s -2 the distance covered by the body in the v second of its motion is
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EXPLANATION
- Correct Question
The initial velocity of a body moving along a straight line is 7 m/s it has a uniform acceleration of 4 m/s^2 the distance covered by the body in the v th second of its motion is ____________.
- Given
u = 7 m/s
a = 4 m/s^2
To find the distance travelled in v th second,
We have to first find the distance travelled in v seconds and then we have to find the distance travelled in (v - 1) seconds and we have to subtract the distance travelled in (v - 1) seconds from the distance travelled in v seconds
Let the distance travelled in v seconds be
Let the distance travelled in (v - 1) seconds be
From the second equation of motion, ()
The distance travelled in v seconds,
The distance travelled in (v - 1) seconds,
Therefore,
The distance travelled in v th second =
Therefore,
Distance travelled in vth second = 4v + 5
We can also find the distance travelled in v th second using the formula
, n is the time at which should find the distance travelled
Therefore,
Distance travelled in vth second = = =
- Equations of motion
i)
ii)
iii)
iv)