Fill in the blanks:
$(a)$ Average velocity ....... average speed.
$(b)$ $A$ particle moves in a straight line with an initial velocity $v_0$ and constant acceleration $a$. The formula for the distance covered in the $n^{th}$ second is ............ .
$(c)$ When two objects are moving in the same direction with velocities $v_A$ and $v_B$,the formula for the velocity of $A$ relative to $B$ is .......... .
$(a)$ Average velocity ....... average speed.
$(b)$ $A$ particle moves in a straight line with an initial velocity $v_0$ and constant acceleration $a$. The formula for the distance covered in the $n^{th}$ second is ............ .
$(c)$ When two objects are moving in the same direction with velocities $v_A$ and $v_B$,the formula for the velocity of $A$ relative to $B$ is .......... .
(N/A) The magnitude of average velocity is always less than or equal to the average speed,i.e.,$\text{Average velocity} \leq \text{Average speed}$.
$(b)$ The distance covered by a particle in the $n^{th}$ second under constant acceleration $a$ is given by $d_n = v_0 + \frac{a}{2}(2n - 1)$.
$(c)$ The relative velocity of object $A$ with respect to object $B$ is given by $v_{AB} = v_A - v_B$.
$(b)$ The distance covered by a particle in the $n^{th}$ second under constant acceleration $a$ is given by $d_n = v_0 + \frac{a}{2}(2n - 1)$.
$(c)$ The relative velocity of object $A$ with respect to object $B$ is given by $v_{AB} = v_A - v_B$.
Explore More
Similar Questions
The displacement $x$ of a particle depends on time $t$ as $x = \alpha t^2 - \beta t^3$.
Difficult
View Solution$A$ gas balloon is going up with a constant velocity of $10 \text{ m/s}$. When this balloon reached a height of $75 \text{ m}$, a stone is dropped from it and the balloon keeps moving up with the same velocity. The height of the balloon when the stone hits the ground is . . . . . . $\text{m}$. (Take $g = 10 \text{ m/s}^2$)
DifficultJEE MAIN 2026
View SolutionThe relation between time $t$ and distance $x$ is given by $t = \alpha x^2 + \beta x$,where $\alpha$ and $\beta$ are constants. The retardation of the particle is:
DifficultAIEEE 2005
View Solution$A$ ball moves one-fourth of a circle of radius $R$ in time $T$. Let $v_1$ and $v_2$ be the magnitudes of mean speed and mean velocity vector. The ratio $\frac{v_1}{v_2}$ will be
DifficultTS EAMCET 2019
View Solution$A$ body is projected vertically up with a velocity $v$ and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are
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