# velocity time graph for a body projected vertically upwards

questioned by administrator @ in Physics viewed by 97 People

Velocity time curve for a body projected vertically upwards is

Question:

Velocity time curve for a body projected vertically upwards is

(A) Parabola

(B) Ellipse

(C) Hyperbola

(D) Straight line

(D) Straight line is the correct answer.

Explanation:

As the ball is thrown vertically upward velocity and acceleration is increasing.

Velocity of body is in the opposite direction.

Acceleration on the body in the opposite direction is due to gravity.

g will remain constant.

v = u + at

When an object moves up against force of gravitation, acceleration is negative.

After the body reaches maximum height it will start to fall down and it will have initial velocity = 0 at maximum height.

When an object falls down, acceleration is positive.

v = -gt

As the motion is downwards the velocity is negative.

We can see that velocity and time is linearly proportional to each other.

The curve will be like in image attached.

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