Question

Equation of
motion
Numelicals
Y A care starts from rent and moves along
the x-axis whe with constant acceleration
sms 2 for 8 second - If it then continues
with constant velocity then what distance
will the car cover in 12 second, sencent
started from rent?​

Answer 1

Answer:

Given, the car starts from rest, so its initial velocity u = 0

Acceleration, (a) = 5 ms-2 and time (t) = 8 s

From first equation of motion,

v = u + at

On putting a = 5 ms-2and t = 8 s in above equation, we get

v = 0+ 5×8= 40ms’1

So, final velocity v is 40 ms’1.

Again, from second equation of motion,

So, the distance covered in 8 s is 160 m. -­

Given, total time t = 12 s.

After 8 s, the car continues with constant velocity i.e., the car will move with a velocity of 40 ms-1.

So, remaining time t’= 12 s-8 s= 4s

The distance covered in the last 4s (s’) =Velocity x Time [∴ Distance = Velocity x Time]

= 40 x 4 = 160 m

[We have used the direct formula because after 8 s, car is moving with constant velocity i.e., zero acceleration].

Total distance travelled in 12 s from the start

D = s + s’= 160+ 160= 320 m

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