Suggest a suitable physical situation for following graphs.
The given $a-t$ graph reveals that initially the body is moving with a certain uniform velocity. Its acceleration increases for a short interval of time, which again drops to zero. This indicates that the body again starts moving with the same constant velocity. As imilar physical situation arises when a hammer moving with a uniform velocity strikes a nail.
A particle of mass $m$ moves on the x-axis as follows : it starts from rest at $t = 0$ from the point $x = 0$ and comes to rest at $ t= 1$ at the point $x = 1$. No other information is available about its motion at intermediate time $(0 < t < 1)$. If $\alpha $ denotes the instantaneous acceleration of the particle, then
The velocity of a body depends on time according to the equation $v=\frac{t^2}{10}+20$. The body is undergoing
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.
For the velocity-time graph shown in the figure, in a time interval from $t=0$ to $t=6\,s$, match the following columns.
Colum $I$ | Colum $II$ |
$(A)$ Change in velocity | $(p)$ $-5 / 3\,Sl$ unit |
$(B)$ Average acceleration | $(q)$ $-20\,SI$ unit |
$(C)$ Total displacement | $(r)$ $-10\,SI$ unit |
$(D)$ Acceleration at $t=3\,s$ | $(s)$ $-5\,SI$ unit |
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