The velocity versus time graph of a body moving in a straight line is as shown in the figure below
The velocity versus time graph of a body moving in a straight line is as shown in the figure below
- A
The distance covered by the body in $0$ to $2 \,s$ is $8 \,m$
- B
The acceleration of the body in $0$ to $2 \,s$ is $4 \,ms ^{-2}$
- C
The acceleration of the body in $2$ to $3 \,s$ is $4 \,ms ^{-2}$
- D
The distance moved by the body during $0$ to $3 \,s$ is $6 \,m$
Similar Questions
A monkey climbs up a slippery pole for $3$ and subsequently slips for $3$. Its velocity at time $t$ is given by $v (t) = 2t \,(3s -t)$ ; $0 < t < 3$ and $v(t) =\,-\, (t -3)\,(6 -t)$ ; $3 < t < 6$ $s$ in $m/s$. It repeats this cycle till it reaches the height of $20\, m$.
$(a)$ At what time is its velocity maximum ?
$(b)$ At what time is its average velocity maximum ?
$(c)$ At what time is its acceleration maximum in magnitude ?
$(d)$ How many cycles (counting fractions) are required to reach the top ?
A monkey climbs up a slippery pole for $3$ and subsequently slips for $3$. Its velocity at time $t$ is given by $v (t) = 2t \,(3s -t)$ ; $0 < t < 3$ and $v(t) =\,-\, (t -3)\,(6 -t)$ ; $3 < t < 6$ $s$ in $m/s$. It repeats this cycle till it reaches the height of $20\, m$.
$(a)$ At what time is its velocity maximum ?
$(b)$ At what time is its average velocity maximum ?
$(c)$ At what time is its acceleration maximum in magnitude ?
$(d)$ How many cycles (counting fractions) are required to reach the top ?
$Assertion$ : A body can have acceleration even if its velocity is zero at a given instant of time.
$Reason$ : A body is numerically at rest when it reverses its direction.
$Assertion$ : A body can have acceleration even if its velocity is zero at a given instant of time.
$Reason$ : A body is numerically at rest when it reverses its direction.
- [AIIMS 1998]
A three-wheeler starts from rest, accelerates uniformly with $1\; m/s^{2}$ on a straight road for $10\; s$, and then moves with uniform velocity. Plot the distance covered by the vehicle during the $n ^{\text {th }}$ second $( n =1,2,3 \ldots .)$ versus $n$. What do you expect this plot to be during accelerated motion : a straight line or a parabola?
A three-wheeler starts from rest, accelerates uniformly with $1\; m/s^{2}$ on a straight road for $10\; s$, and then moves with uniform velocity. Plot the distance covered by the vehicle during the $n ^{\text {th }}$ second $( n =1,2,3 \ldots .)$ versus $n$. What do you expect this plot to be during accelerated motion : a straight line or a parabola?
A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $x -$ axis. Identify all figures that correctly represent the motion qualitatively. ($a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)
A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $x -$ axis. Identify all figures that correctly represent the motion qualitatively. ($a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)
- [JEE MAIN 2019]
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
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