Question:
A vehicle travels half the distance with speed θ and the remaining distance with speed 2θ. its average speed is
A vehicle travels half the distance with speed θ and the remaining distance with speed 2θ. its average speed is
Updated On: Feb 18, 2025
\(\frac{3\theta}{3}\)
\(\frac{\theta}{3}\)
\(\frac{2\theta}{3}\)
\(\frac{4\theta}{3}\)
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The Correct Option is D
Solution and Explanation
\(\theta_{avg}=\frac{2\theta_1 \theta_2}{\theta_1+\theta_2}\)
\(\theta_{avg}=\frac{2(\theta)(2\theta)}{\theta+2\theta}\)
\(\theta_{avg}=\frac{4\theta^2}{3\theta}\)
\(\theta_{avg}=\frac{4\theta}{3}\)
So, the correct option is (D): \(\frac{4\theta}{3}\)
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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.