Question:
A bus is moving with a speed of $ 10 \,ms^{-1} $ on a straight road. A scooterist wishes to overtake the bus in $ 100 \,s $ . If the bus is at a distance of $ 1 \,km $ from the scooterist with what speed should the scooterist chase the bus ?
A bus is moving with a speed of $ 10 \,ms^{-1} $ on a straight road. A scooterist wishes to overtake the bus in $ 100 \,s $ . If the bus is at a distance of $ 1 \,km $ from the scooterist with what speed should the scooterist chase the bus ?
Updated On: May 3, 2024
- $ 40 \,ms^{-1} $
- $ 25 \,ms^{-1} $
- $ 10 \,ms^{-1} $
- $ 20 \,ms^{-1} $
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Let $v$, be the velocity of the scooter, the distance between the scooter and the bus $=1000\, m$,
The velocity of the bus $=10\, ms ^{-1}$
Time taken to overtake $=100\, s$
Relative velocity of the scooter with respect to the bus $=\left( v _{ s }-10\right)$
$1000 /\left(v_{s}-10\right)=100\, s$
$=v_{s}=20\, ms ^{-1}$
The velocity of the bus $=10\, ms ^{-1}$
Time taken to overtake $=100\, s$
Relative velocity of the scooter with respect to the bus $=\left( v _{ s }-10\right)$
$1000 /\left(v_{s}-10\right)=100\, s$
$=v_{s}=20\, ms ^{-1}$
Was this answer helpful?
0
0
Top Questions on Motion in a straight line
- A ball is dropped from a height of 20 m. What is its velocity just before hitting the ground? (Take \( g = 9.8 \, \text{m/s}^2 \))
- VITEEE - 2025
- Physics
- Motion in a straight line
- A body is thrown vertically upwards with an initial velocity of \( 10 \, \text{m/s} \). How high will the body rise? (Take \( g = 10 \, \text{m/s}^2 \))
- VITEEE - 2025
- Physics
- Motion in a straight line
- A body is falling freely under gravity from a certain height from the ground. If the sum of the displacements of the body in the second and third seconds of its motion is 32% of the height from which it is falling, then the speed with which the body hits the ground is (Acceleration due to gravity = $10~\text{m s}^{-2}$)
- TS EAMCET - 2025
- Physics
- Motion in a straight line
- A motor cyclist is travelling towards north with a uniform speed of 10 ms\textsuperscript{−1} and a train is travelling towards north-west with a uniform speed of 102 ms\textsuperscript{−1}. The direction of motion of the motor cyclist as observed by a passenger in the train is
- TS EAMCET - 2025
- Physics
- Motion in a straight line
- A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?
- MHT CET - 2025
- Physics
- Motion in a straight line
View More Questions
Questions Asked in NEET exam
The current passing through the battery in the given circuit, is:
- NEET (UG) - 2025
- Current electricity
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
- NEET (UG) - 2025
- Current electricity
- Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radii \(r_A\) and \(r_B\) respectively. On supplying an equal amount of heat to both the cylinders, their pressures remain constant and their pistons are displaced by 16 cm and 9 cm respectively. If the change in their internal energies is the same, then the ratio \(r_A / r_B\) is:
- NEET (UG) - 2025
- Thermodynamics
- Which of the following enzyme(s) are NOT essential for gene cloning?
A. Restriction enzymes
B. DNA ligase
C. DNA mutase
D. DNA recombinase
E. DNA polymerase- NEET (UG) - 2025
- Molecular Biology
- Which of the following organisms cannot fix nitrogen? A. Azotobacter
B. Oscillatoria
C. Anabaena
D. Volvox
E. Nostoc
Choose the correct answer from the options given below:- NEET (UG) - 2025
- Nitrogen Fixation
View More Questions
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.