Question

An auto, starting from rest, undergoes constant acceleration and covers a distance of 1200 meters. The final speed of the auto is 60 meters/sec. How long does it take the car to cover the 1200 meters?

Answer 1

To find the time it takes for the car to cover the distance of 1200 meters, use the equation d=0.5*(v+u)*t, where d is the distance, v is the final velocity, u is the initial velocity, and t is the time. Plugging in the values and solving, the time is found to be 40 seconds.

Step-by-step explanation:

To find the time it takes for the car to cover the distance of 1200 meters, we can use the equation:

d = 0.5 * (v + u) * t

Where d is the distance, v is the final velocity, u is the initial velocity (which is 0 in this case), and t is the time.

Plugging in the values, we have:

1200 = 0.5 * (60 + 0) * t

Simplifying the equation, we get:

1200 = 30t

Dividing both sides by 30, we get:

t = 40 seconds

Therefore, it takes the car 40 seconds to cover the distance of 1200 meters.

Answer 2

It will take 40 sec

Step-by-step explanation:

We have given that auto is starting from rest so initial velocity u = 0 m/sec

And final velocity is given as v = 60 m/sec

Distance traveled by car s = 1200 m

According third equation of motion we know that
`v^2=u^2+2as`

So
`60^2=0^2+2* a* 1200`

`a=1.5m/sec^2`

Now according to first equation of motion v = u+at

So
`60=0+1.5* t`

t = 40 sec