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Solve this : Mods And StarsA car starts from rest and moves along the x-axis with constant acceleration of 5 m/s² for 8 seconds. If it then continues with constant velocity, what distance will the car cover in 12 seconds since it started from the rest?​

Answer»

Given:

A CAR starts from rest and moves along the x-axis with a constant ACCELERATION of 5 m/s² for 8 seconds.

To Find:

what distance will the car cover in 12 seconds since it started from rest.

Solution:

We know that,

s = ut +  \frac{1}{2}at^{2}

But given that, the initial velocity is zero. Therefore, the distance covered by the car in first 8 seconds is

s = 0 +  \frac{1}{5}  \times 5 \times  {8}^{2}

s = 180 metres

Therefore, the velocity ATTAINED at the end of 8 seconds is:

from, v = u + at

=>V= 0 + 5 x 8 40 m/s

Therefore, since the car has moved with constant velocity from 8th second to 12 second, the distance travelled is

S = v × t = 40 x 4 = 160 m.

Therefore, the total distance travelled is 160 + 160 = 320m.

Hope it helps :)



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