The position of a particle moving along the $X-$axis at certain times is given below :Which of the following describes the motion correctly
$\begin{array}{|c|c|c|c|c|} \hline t( s ) & 0 & 1 & 2 & 3 \\ \hline x ( m ) & -2 & 0 & 6 & 16 \\ \hline \end{array} $
Uniform, accelerated
Uniform, decelerated
Non-uniform, accelerated
There is not enough data for generalization
A particle moves in a straight line and its position $x$ at time $t$ is given by $x^2=2+t$. Its acceleration is given by
Read each statement below carefully and state with reasons and examples, if it is true or false
A particle in one-dimensional motion
$(a)$ with zero speed at an instant may have non-zero acceleration at that instant
$(b)$ with zero speed may have non-zero velocity.
$(c)$ with constant speed must have zero acceleration.
$(d)$ with positive value of acceleration must be speeding up.
If $v = x^2 -5x + 4$, find the acceleration of particle when velocity of the particle is zero
The initial velocity of a particle is $u$ (at $t = 0$) and the acceleration ${n^{th}}$ is given by $at$. Which of the following relation is valid
A car is moving with speed of $150\,km / h$ and after applying the brake it will move $27\,m$ before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling $....m$ distance.