The $v-t$ graph of cars $A$ and $B$ which start from the same place and move along straight road in the same direction, is shown. Calculate
$(i)$ the acceleration of car $A$ between $0$ and $8\, s$.
$(ii)$ the acceleration of car $B$ between $2\, s$ and $4\, s$.
$(iii)$ the points of time at which both the cars have the same velocity.
$(iv)$ which of the two cars is ahead after $8\, s$ and by how much ?
The $v-t$ graph of cars $A$ and $B$ which start from the same place and move along straight road in the same direction, is shown. Calculate
$(i)$ the acceleration of car $A$ between $0$ and $8\, s$.
$(ii)$ the acceleration of car $B$ between $2\, s$ and $4\, s$.
$(iii)$ the points of time at which both the cars have the same velocity.
$(iv)$ which of the two cars is ahead after $8\, s$ and by how much ?
$(i)$ Acceleration of car $A$ between $0$ to $8\, s$ is
$a=\frac{\text { speed }}{\text { time }}=\frac{80}{8}=10 m s ^{-2}$
$(ii)$ Acceleration of car $B$ between $2$ to $4\, s$ is
$a=\frac{\text { speed }}{\text { time }}=\frac{(60-20)}{2}=20 m s ^{-2}$
$(iii)$ After $2\, s$ and $6\, s$ from the start.
$(iv)$ Distance travelled by $CMA$
Area of $\Delta OAB =\frac{1}{2} \times 80 \times 8$
$=320 m$
Distance travelled by car $B$
Area of the trapezium $CDEB$
$=\frac{1}{2} \times(7+4) \times 60$
$=330 m$
Car $B$ is ahead by $10\, m$.
Similar Questions
Can a particle be accelerated
$(i)$ if its speed is constant ?
$(ii)$ if its velocity is constant ?
Can a particle be accelerated
$(i)$ if its speed is constant ?
$(ii)$ if its velocity is constant ?
There are 5 houses on a street, $A, B, C, D$ and $E$. For all cases, assume that positions to the right are positive.
$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.
$(ii)$ You live in house $C.$ What is your position relative to house $E$ ?
$(iii)$ What are the positions of houses $A$ and $D$, if house $B$ is taken as the reference point ?
There are 5 houses on a street, $A, B, C, D$ and $E$. For all cases, assume that positions to the right are positive.
$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.
$(ii)$ You live in house $C.$ What is your position relative to house $E$ ?
$(iii)$ What are the positions of houses $A$ and $D$, if house $B$ is taken as the reference point ?
Write any two equations of motion for a body having uniform acceleration.
Write any two equations of motion for a body having uniform acceleration.
Distance$-$time graph below represents the motion of two buses $A$ and $B$
$(i)$ What is the distance by which bus $B$ was ahead of bus $A$ initially ?
$(ii)$ Do they ever meet each other ? If so, when ?
$(iii)$ What is the distance travelled by bus $A$ when it overtakes bus $B$ ?
$(iv)$ Find out the distance by which bus $A$ was ahead of bus $B$ at $y=12 h$
$(v)$ Which one of them is moving faster ? Give reason.
Distance$-$time graph below represents the motion of two buses $A$ and $B$
$(i)$ What is the distance by which bus $B$ was ahead of bus $A$ initially ?
$(ii)$ Do they ever meet each other ? If so, when ?
$(iii)$ What is the distance travelled by bus $A$ when it overtakes bus $B$ ?
$(iv)$ Find out the distance by which bus $A$ was ahead of bus $B$ at $y=12 h$
$(v)$ Which one of them is moving faster ? Give reason.
$(a)$ Differentiate between speed and velocity.
$(b)$ When is a body said to have uniform velocity ?
$(c)$ How can we describe the position of an object ? Illustrate with suitable example.
$(a)$ Differentiate between speed and velocity.
$(b)$ When is a body said to have uniform velocity ?
$(c)$ How can we describe the position of an object ? Illustrate with suitable example.