Question:
Velocity-time curve for a body, projected vertically upwards, is:
Velocity-time curve for a body, projected vertically upwards, is:
Updated On: Jun 20, 2022
- Parabola
- Ellipse
- Hyperbola
- Straight line
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The Correct Option is D
Solution and Explanation
From equation of motion, we have
$v=u-g t$
Where $v$ is final velocity, $u$ is initial velocity, $g$ is acceleration due to gravity and $t$ is time.
Since, body is projected vertically upwards final velocity $u=0$. $\therefore u=g t$
This equation is form of straight line equation
$y=m x+c$
Hence, graph between velocity and time is a straight line.
$v=u-g t$
Where $v$ is final velocity, $u$ is initial velocity, $g$ is acceleration due to gravity and $t$ is time.
Since, body is projected vertically upwards final velocity $u=0$. $\therefore u=g t$
This equation is form of straight line equation
$y=m x+c$
Hence, graph between velocity and time is a straight line.
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.