(D) Let the velocity of the scooter be $v\, ms^{-1}$.The initial distance between the scooterist and the bus is $d = 1\, km = 1000\, m$.The relative v

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(D) Let the velocity of the scooter be $v\, ms^{-1}$.The initial distance between the scooterist and the bus is $d = 1\, km = 1000\, m$.The relative velocity of the scooter with respect to the bus is $v_{rel} = v - 10\, ms^{-1}$.To overtake the bus in time $t = 100\, s$,the scooter must cover the relative distance $d$ with the relative velocity $v_{rel}$.Using the formula $d = v_{rel} \times t$,we get:$1000 = (v - 10) \times 100$Dividing both sides by $100$:$10 = v - 10$Therefore,$v = 10 + 10 = 20\, ms^{-1}$.

Class 11 Physics Motion in Straight Line Relative Motion in One Dimension

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$A$ bus is moving with a velocity $10\, ms^{-1}$ on a straight road. $A$ scooterist wishes to overtake the bus in $100\, s$. If the bus is at a distance of $1\, km$ from the scooterist,with what velocity should the scooterist chase the bus? ......... $ms^{-1}$

A
$50$
B
$40$
C
$30$
D
$20$

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Motion in Straight Line

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Relative Motion in One Dimension

Which one of the following time-displacement graphs represents two moving objects $P$ and $Q$ with zero relative velocity?

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Train $A$ is moving along two parallel rail tracks towards north with speed $72 \ km/h$ and train $B$ is moving towards south with speed $108 \ km/h$. The velocity of train $B$ with respect to $A$ and the velocity of the ground with respect to $B$ are (in $ms^{-1}$):

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Two bodies start moving from the same point along a straight line with velocities $v_1 = 6 \, m/s$ and $v_2 = 10 \, m/s$,simultaneously. After what time will their separation become $40 \, m$?

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Write the relation between instantaneous velocity and relative velocity for uniform motion.

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An express train is moving with a velocity $v_1$. Its driver finds another train moving on the same track in the same direction with velocity $v_2$. To escape a collision,the driver applies a retardation $a$ to the train. The minimum time to escape a collision will be:

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$A$ bus is moving with a velocity $10\, ms^{-1}$ on a straight road. $A$ scooterist wishes to overtake the bus in $100\, s$. If the bus is at a distance of $1\, km$ from the scooterist,with what velocity should the scooterist chase the bus? ......... $ms^{-1}$

Similar Questions

Which one of the following time-displacement graphs represents two moving objects $P$ and $Q$ with zero relative velocity?

Train $A$ is moving along two parallel rail tracks towards north with speed $72 \ km/h$ and train $B$ is moving towards south with speed $108 \ km/h$. The velocity of train $B$ with respect to $A$ and the velocity of the ground with respect to $B$ are (in $ms^{-1}$):

Two bodies start moving from the same point along a straight line with velocities $v_1 = 6 \, m/s$ and $v_2 = 10 \, m/s$,simultaneously. After what time will their separation become $40 \, m$?

Write the relation between instantaneous velocity and relative velocity for uniform motion.

An express train is moving with a velocity $v_1$. Its driver finds another train moving on the same track in the same direction with velocity $v_2$. To escape a collision,the driver applies a retardation $a$ to the train. The minimum time to escape a collision will be:

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