Question:
If a car at rest accelerates uniformly and attains a speed of $72 \,km/hr$ in $10 \,s$, then it covers a distance of:
If a car at rest accelerates uniformly and attains a speed of $72 \,km/hr$ in $10 \,s$, then it covers a distance of:
Updated On: Jul 12, 2022
- 50 m
- 100 m
- 200 m
- 400 m
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The Correct Option is B
Solution and Explanation
Here : $u=0, v=72\, km / hr$
$=\frac{72 \times 5}{18}$
$=20\, m / s$
$t =10 \,sec$
The first equation of motion is
$v =u+a t $
$20 =0+a \times 10 $
$\Rightarrow a =\frac{20}{10}$
$=2 \,m / s ^{2}$
The second equation of motion
$s =u t+\frac{1}{2} a t^{2} $
$=0 \times 10+\frac{1}{2} \times 2 \times(10)^{2}$
$=100\, m $
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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.