A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{\text {th }}$ second and $115.0 \mathrm{~m}$ in $(n+2)^{\text {th }}$ second. The acceleration is :
$9 \mathrm{~m} / \mathrm{s}^2$
$6.25 \mathrm{~m} / \mathrm{s}^2$
$12.5 \mathrm{~m} / \mathrm{s}^2$
$5 \mathrm{~m} / \mathrm{s}^2$
A particle moves along $x$-axis as $x=4(t-2)+a(t-2)^2$. Which of the following statements is true?
Which of the following speed-time $(v-t)$ graphs is physically not possible?
Velocity of a particle is in negative direction with constant acceleration in positive direction. Then, match the following columns.
Colum $I$ | Colum $II$ |
$(A)$ Velocity-time graph | $(p)$ Slope $\rightarrow$ negative |
$(B)$ Acceleration-time graph | $(q)$ Slope $\rightarrow$ positive |
$(C)$ Displacement-time graph | $(r)$ Slope $\rightarrow$ zero |
$(s)$ $\mid$ Slope $\mid \rightarrow$ increasing | |
$(t)$ $\mid$ Slope $\mid$ $\rightarrow$ decreasing | |
$(u)$ |Slope| $\rightarrow$ constant |
The relation between position $( x )$ and time ( $t$ ) are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where $\alpha$ and $\beta$ are positive constants]
What would be the stopping distance if the velocity of vehicle becomes three times ?