A train travelling at $20\ ms^{-1}$ accelerates at $0.5\ ms^{-2}$ for $30\ s$. How far will it travel in this time ?

Academic Physics NCERT Class 9

Here, initial velocity of the train$=20\ ms^{-1}$

Acceleration $a=0.5\ ms^{-2}$

Time $t=30\ s$

Let $s$ be the displacement.

On using the equation $s=ut+\frac{1}{2}at^2$

$s=20\times30+\frac{1}{2}\times0.5\times30^2$

Or $s=600+225$

Or $s=825\ m$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

27 Views

A car is travelling along the road at $8\ ms^{-1}$. It accelerates at $1\ ms^{-2}$ for a distance of $18\ m$. How fast is it then travelling ?
A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms-2 for 8.0s. How far does the boat travel during this time?
A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of $3.0\ m s^{-2}$ for $8.0\ s$. How far does the boat travel during this time?
A car of mass $1000\ kg$ is moving with a velocity of $10\ ms^{-1}$. If the velocity-time graph for this car is a horizontal line parallel to the time axis, then the velocity of car at the end of $25\ s$ will be:(a) $25\ ms^{-1}$(b) $40\ ms^{-1}$(c) $10\ ms^{-1}$(d) $250\ ms^{-1}$
\( A \) train is travelling at a speed of \( 90 \mathrm{km} \mathrm{h}^{-1} . \) Brakes are applied so as to produce a uniform acceleration of \( -0.5 \mathrm{m} \mathrm{s}^{-2} \). Findhow far the train will go before it is brought to rest.
A car accelerates from $6\ ms^{-1}$ to $16\ ms^{-1}$ in $10\ sec.$ Calculate the acceleration.
Compare the power at which each of the following is moving upwards against the force of gravity? $(given\ g=10\ ms^{-2})$1. A butterfly of mass $1.0\ g$ that flies upward at a rate of $0.5\ ms^{-1}$.2. A $250\ g$ squirrel climbing up on a tree at a rate of $0.5\ ms^{-1}$.
A ball hits a wall horizontally at $6.0\ ms^{-1}$. It rebounds horizontally at $4.4\ ms^{-1}$. The ball is in contact with the wall for 0.040 s. What is the acceleration of the ball?
A car accelerates from $6\ ms^{-1}$ to $16\ ms^{-1}$ in $10\ sec.$ Calculate the distance covered by the car in that time.
A boy travels with a speed of $10\ ms^{-1}$ for $30\ minute$. How much distance does he travel.
When a car driver travelling at a speed of $10\ m/s$ applies brakes and brings the car to rest in $20\ s$, then retardation will be:(a) $+2\ m/s^2$(b) $-2\ m/s^2$(c) $-0.5\ m/s^2$(d) $+0.5\ m/s^2$
If you apply $1\ J$ of energy to lift a book of $0.5\ kg$, how high will it rise? [Take $g=10\ ms^{-2}$]
If a bus travelling at $20\ m/s$ is subjected to a steady deceleration of $5\ m/s^2$, how long will it take to come to rest ?
Describe the motion of a body which is accelerating at a constant rate of $10\ ms^{–2}$. If the body starts from rest, how much distance will it cover in $2\ s$ ?
A ball is gently dropped from a height of $20\ m$. If its velocity increases uniformly at the rate of $10\ ms^{-2}$, with what velocity will it strike the ground? After what time will it strike the ground?

Kickstart Your Career

Get certified by completing the course

Get Started

Advertisements