In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns.
Colum $I$ Colum $II$
$(A)$ Distance travelled in $3\,s$ $(p)$ $-20$ units
$(B)$ Displacement in $1\,s$ $(q)$ $15$ units
$(C)$ Initial acceleration $(r)$ $25$ units
$(D)$ Velocity at $4\,s$ $(s)$ $-10$ units

  • A
    $( A \rightarrow r , B \rightarrow p , C \rightarrow s , D \rightarrow p )$
  • B
    $( A \rightarrow p , B \rightarrow p , C \rightarrow s , D \rightarrow r )$
  • C
    $( A \rightarrow r , B \rightarrow s , C \rightarrow p , D \rightarrow p )$
  • D
    $( A \rightarrow s , B \rightarrow p , C \rightarrow r , D \rightarrow p )$

Similar Questions

A person sitting in a moving train with his face towards the engine, throws a coin vertically upwards. The coin falls ahead of person. The train:

Explain the acceleration.

Mark the correct statements for a particle going on a straight line

The acceleration (a)-time $(t)$ graph for a particle moving along a straight starting from rest is shown in figure. Which of the following graph is the best representation of variation of its velocity $(v)$ with time $(t)$ ?

A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^2=1+t^2$. Its acceleration at any time $\mathrm{t}$ is $\mathrm{x}^{-\mathrm{n}}$ where $\mathrm{n}=$ . . . . .

  • [JEE MAIN 2024]