An object is moving with variable speed, then
Its velocity may be zero
Its velocity must be variable
Its acceleration may be zero
Its velocity may be constant
Given below are two statements:
Statement $I:$ Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement $II:$ Area under acceleration- time graph is equal to the change in velocity- in the given time.
In the light of given statements, choose the correct answer from the options given below.
A target is made of two plates, one of wood and the other of iron. The thickness of the wooden plate is $4\,cm$ and that of iron plate is $2\,cm$. A bullet fired goes through the wood first and then penetrates $1\,cm$ into iron. A similar bullet fired with the same velocity from opposite direction goes through iron first and then penetrates $2\,cm$ into wood. If $a_1$ and $a_2$ be the retardations offered to the bullet by wood and iron plates respectively, then
The $x$ and $y$ coordinates of a particle at any time $t$ are given by $x = 7t + 4{t^2}$ and $y = 5t$, where $x$ and $y$ are in metre and $t$ in seconds. The acceleration of particle at $t = 5\;s$ is.........$m/{s^2}$
If $v = x^2 -5x + 4$, find the acceleration of particle when velocity of the particle is zero