Question

the accl time graph of a particle moving with initial velocity 20m/s is shown below the velocity of body at t=20s​

Answer 1

hope this may help you dear

Answer 2

The velocity at t =20 seconds is 120m/s

GIVEN

Acceleration-time graph

initial velocity = 20m/s

Time taken = 20 seconds

TO FIND

The velocity of the body at 20 seconds

SOLUTION

We can simply solve the above problem as follows -

We know that the area under the Acceleration-time graph represents the change in velocity.

Therefore,

Change in velocity = Area of the rectangle

We know that,

Area of the rectangle = Length × Breadth

Where,

Length = t = 20 seconds

Breadth = acceleration = 5m/s²

Area under graph = 20 × 5 = 100 m²

Now,

Change in velocity = Area under the graph

Let the velocity at 20 seconds be, V

So,

V-U = 100

V = 100+20

V = 120 m/s

Hence, The velocity at t =20 seconds is 120m/s

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