The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.
$(i)$ What is the distance travelled by the car in the first $2$ seconds ?
$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?
The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.
$(i)$ What is the distance travelled by the car in the first $2$ seconds ?
$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?
The distance fravelled by the car in first $2$ seconds $=$ Area of $\Delta ABE$
$=1 / 2 \times AE \times BE$
$=1 / 2 \times 2 \times 15=15 m$
Mass of the car $=1000\, kg$
$F=m \times a,$ where $a=$ slope of the graph $CD$
$a=\frac{0-15}{6-5}=\frac{-15}{1}=-15 m s ^{-2}$
$F =m \times a=1000 \times-15=-15000 N$
Similar Questions
Study the speed-time graph of a car given below and answer the questions that follow
$(i)$ What type of motion is represented by $OA$ ?
$(ii)$ What type of motion is represented by $A B$ ?
$(iii)$ What type of motion is represented by $BC$ ?
$(iv)$ What is the acceleration of the car from $O$ to $A$ ?
$(v)$ What is the acceleration of the car from $A$ to $B$ ?
$(vi)$ What is the retardation of car from $B$ to $C$ ?
Study the speed-time graph of a car given below and answer the questions that follow
$(i)$ What type of motion is represented by $OA$ ?
$(ii)$ What type of motion is represented by $A B$ ?
$(iii)$ What type of motion is represented by $BC$ ?
$(iv)$ What is the acceleration of the car from $O$ to $A$ ?
$(v)$ What is the acceleration of the car from $A$ to $B$ ?
$(vi)$ What is the retardation of car from $B$ to $C$ ?
A truck running at $90\, km h ^{-1}$ is brought to rest over a distance of $25\, m$. Calculate the retardation and time for which brakes are applied.
A truck running at $90\, km h ^{-1}$ is brought to rest over a distance of $25\, m$. Calculate the retardation and time for which brakes are applied.
Why is the motion of an athlete moving along the circular path an accelerated motion ?
Why is the motion of an athlete moving along the circular path an accelerated motion ?
$(a)$ Which type of motion is represented by the velocity$-$time graph shown below ?
$(b)$ Name the physical quantity which can be calculated by the area of rectangle $OABC$.
$(c)$ What does the straight line $AB$ represents ?
$(a)$ Which type of motion is represented by the velocity$-$time graph shown below ?
$(b)$ Name the physical quantity which can be calculated by the area of rectangle $OABC$.
$(c)$ What does the straight line $AB$ represents ?
An object starts a linear motion with velocity $'u^{\prime}$ and with uniform acceleration ' $a^{\prime}$, it acquires a velocity $'v^{\prime}$ in timet
$(a)$ Draw its velocity$-$time graph.
$(b)$ Obtain Ist equation of motion, $v=u+a t,$ for velocity $-$ time relation by using velocity$-$time graph.
$(c)$ A body moving with a velocity of $2\, m s ^{-1}$ acquires a velocity of $10 \,m s ^{-1}$ in $5\, s$. Find its acceleration.
An object starts a linear motion with velocity $'u^{\prime}$ and with uniform acceleration ' $a^{\prime}$, it acquires a velocity $'v^{\prime}$ in timet
$(a)$ Draw its velocity$-$time graph.
$(b)$ Obtain Ist equation of motion, $v=u+a t,$ for velocity $-$ time relation by using velocity$-$time graph.
$(c)$ A body moving with a velocity of $2\, m s ^{-1}$ acquires a velocity of $10 \,m s ^{-1}$ in $5\, s$. Find its acceleration.