$A$ cheetah can accelerate from rest at the rate of $4 \, m \, s^{-2}$.
$(i)$ What will be the velocity attained by it in $10 \, s$?
$(ii)$ How far will it travel in this duration?
$(i)$ What will be the velocity attained by it in $10 \, s$?
$(ii)$ How far will it travel in this duration?
(N/A) Initial velocity,$u = 0 \, m \, s^{-1}$.
Acceleration,$a = 4 \, m \, s^{-2}$.
Time,$t = 10 \, s$.
$(i)$ Using the first equation of motion,$v = u + at$:
$v = 0 + (4 \times 10) = 40 \, m \, s^{-1}$.
Thus,the velocity attained is $40 \, m \, s^{-1}$.
$(ii)$ Using the second equation of motion,$s = ut + \frac{1}{2}at^2$:
$s = (0 \times 10) + \frac{1}{2} \times 4 \times (10)^2$
$s = 0 + 2 \times 100 = 200 \, m$.
Thus,the distance traveled is $200 \, m$.
Acceleration,$a = 4 \, m \, s^{-2}$.
Time,$t = 10 \, s$.
$(i)$ Using the first equation of motion,$v = u + at$:
$v = 0 + (4 \times 10) = 40 \, m \, s^{-1}$.
Thus,the velocity attained is $40 \, m \, s^{-1}$.
$(ii)$ Using the second equation of motion,$s = ut + \frac{1}{2}at^2$:
$s = (0 \times 10) + \frac{1}{2} \times 4 \times (10)^2$
$s = 0 + 2 \times 100 = 200 \, m$.
Thus,the distance traveled is $200 \, m$.
Explore More
Similar Questions
Under what condition will the displacement and distance have the same magnitude?
Easy
View Solution$A$ body is thrown vertically upward with velocity $u$,the greatest height $h$ to which it will rise is,
Medium
View SolutionThe velocity$-$time graph of a truck is plotted below.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.
Medium
View SolutionThe average time taken by a normal person to react to an emergency is $1/15$ of a second and is called the 'reaction time'. If a bus is moving with a velocity of $60 \, km/h$ and its driver sees a child running across the road,how much distance would the bus have moved before he could press the brakes? The reaction time of the people increases when they are intoxicated. How much distance would the bus have moved if the reaction time of the driver were $1/2 \, s$ under the influence of alcohol?
Difficult
View SolutionDistinguish between the terms speed and velocity.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo