If the displacement of a body is proportional | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The displacement $s$ is proportional to the square of time $t$,which can be written as $s \propto t^2$ or $s = kt^2$,where $k$ is a constant.Accor

Vedclass · Accepted Answer

Uniform acceleration

Vedclass · Answer

(B) The displacement $s$ is proportional to the square of time $t$,which can be written as $s \propto t^2$ or $s = kt^2$,where $k$ is a constant.According to the equation of motion $s = ut + \frac{1}{2}at^2$,if the initial velocity $u = 0$,then $s = \frac{1}{2}at^2$.Comparing $s = kt^2$ with $s = \frac{1}{2}at^2$,we get $k = \frac{1}{2}a$,which implies $a = 2k$.Since $k$ is a constant,the acceleration $a$ is also constant.Therefore,the body possesses uniform acceleration.

Time	Distance from her home $(km)$
$06:45 \, am$	$0$
$07:00 \, am$	$8$
$01:30 \, pm$	$8$
$01:45 \, pm$	$0$

If the displacement of a body is proportional to the square of the time elapsed,what type of motion does the body possess?

Similar Questions

State whether the following statements are true or false:
$1$. The motion in animals is called locomotion.
$2$. Mechanics deals with the motion of non-living objects.

Area under a speed-time graph is equal to the

What do you understand by the displacement-time graph? Draw a displacement-time graph for a girl going to school with uniform velocity. How can we calculate the uniform velocity from it?

The following table shows the position of Renu, while she is going to her school. Draw a distance-time graph for her motion.

Time Distance from her home $(km)$

$06:45 \, am$ $0$

$07:00 \, am$ $8$

$01:30 \, pm$ $8$

$01:45 \, pm$ $0$

State whether the following statement is true or false:
$A$ quantity which can be completely specified by magnitude as well as direction is called a scalar quantity.

Vedclass Test Series

Exam Paper Generator

Online Exam Module