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Question

Physics Question on Motion in a straight line

Velocity-time curve for a body, projected vertically upwards, is:

A

Parabola

B

Ellipse

C

Hyperbola

D

Straight line

Answer

Straight line

Explanation

Solution

From equation of motion, we have
v=ugtv=u-g t
Where vv is final velocity, uu is initial velocity, gg is acceleration due to gravity and tt is time.
Since, body is projected vertically upwards final velocity u=0u=0. u=gt\therefore u=g t
This equation is form of straight line equation
y=mx+cy=m x+c
Hence, graph between velocity and time is a straight line.