Question:
A bus is moving on a straight road towards north with a uniform speed of 50 km/hour then it turns left through 90$^{\circ}$. If the speed remains unchanged after turning, the increase in the velocity of bus in the turning process is
A bus is moving on a straight road towards north with a uniform speed of 50 km/hour then it turns left through 90$^{\circ}$. If the speed remains unchanged after turning, the increase in the velocity of bus in the turning process is
Updated On: May 5, 2024
- 70.7 km/hr along south-west direction
- zero
- 50 km/hr along west
- 70.7 km/hr along north-west direction
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
$ v_1 $ 50 km/hr due north
$ v_2$ 50 km/hr due west
- $ v_1$ 50 km/hr due south
Magnitude of change in velocity
= $ | \overrightarrow{v_2} - \overrightarrow{v_1} | = | \overrightarrow{v_2} + ( - \overrightarrow{v_1}) | $
= $ \sqrt{ v_2^2 + ( - v_1)^2 }$
= $ \sqrt{ ( 50)^2 + (50)^2 } $
= 70.7 km/hr along south-west direction
$ v_2$ 50 km/hr due west
- $ v_1$ 50 km/hr due south
Magnitude of change in velocity
= $ | \overrightarrow{v_2} - \overrightarrow{v_1} | = | \overrightarrow{v_2} + ( - \overrightarrow{v_1}) | $
= $ \sqrt{ v_2^2 + ( - v_1)^2 }$
= $ \sqrt{ ( 50)^2 + (50)^2 } $
= 70.7 km/hr along south-west direction
Was this answer helpful?
2
1
Top Questions on Motion in a plane
- A person travelling on a straight line moves with a uniform velocity \( v_1 \) for a distance \( x \) and with a uniform velocity \( v_2 \) for the next \( \frac{3x}{2} \) distance. The average velocity in this motion is \( \frac{50}{7} \, \text{m/s} \). If \( v_1 \) is 5 m/s, then \( v_2 \) is ___ m/s.
- JEE Main - 2025
- Physics
- Motion in a plane
- The minimum velocity of a projectile is 50% of its maximum velocity. If the minimum velocity of the projectile is $10~\text{m s}^{-1}$ then the time of flight of the projectile is (Acceleration due to gravity = $10~\text{m s}^{-2}$
- TS EAMCET - 2025
- Physics
- Motion in a plane
- A cannon on a cliff 55 m above the ground fires a shell with a velocity of \(50\hat{i}+50\hat{j}\) ms\textsuperscript{−1}. The displacement vector of the shell when it hits the ground is (Acceleration due to gravity = 10 ms\textsuperscript{−2})
- TS EAMCET - 2025
- Physics
- Motion in a plane
- If a body projected with a velocity of 19.6 ms⁻¹ reaches a maximum height of 9.8 m, then the range of the projectile is (Neglect air resistance)
- TS EAMCET - 2025
- Physics
- Motion in a plane
- A ball is thrown vertically upwards with an initial velocity of $ 20 \, \text{m/s} $. How high will the ball rise? (Take $ g = 10 \, \text{m/s}^2 $)
- MHT CET - 2025
- Physics
- Motion in a plane
View More Questions
Questions Asked in NEET exam
- 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 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
Given below are two statements:
Statement I: The primary source of energy in an ecosystem is solar energy.
Statement II: The rate of production of organic matter during photosynthesis in an ecosystem is called net primary productivity (NPP).
In light of the above statements, choose the most appropriate answer from the options given below:- NEET (UG) - 2025
- Ecosystems
- What is the main function of the spindle fibers during mitosis?
- NEET (UG) - 2025
- Cell Biology
- 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
View More Questions
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration