(D) The speed of the train with respect to the ground is $V_T = 90 \,km/h$.Converting this to $m/s$: $V_T = 90 \times \frac{5}{18} = 25 \,m/s$.The spe

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(D) The speed of the train with respect to the ground is $V_T = 90 \,km/h$.Converting this to $m/s$: $V_T = 90 \times \frac{5}{18} = 25 \,m/s$.The speed of the person with respect to the train is $V_{P/T} = 1 \,m/s$ in the direction of the train's motion.The speed of the person with respect to the ground $(V_P)$ is given by the relative velocity formula: $V_P = V_{P/T} + V_T$.Substituting the values: $V_P = 1 \,m/s + 25 \,m/s = 26 \,m/s$.Therefore,the speed of the person with respect to the ground is $26 \,m/s$.

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

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$A$ train is running at a constant speed of $90 \,km/h$ on a straight track. $A$ person standing on the top of a bogie moves in the direction of motion of the train such that he covers $1 \,m$ on the train each second. The speed of the person with respect to the ground is .........

A
$25 \,m/s$
B
$91 \,km/h$
C
$26 \,km/h$
D
$26 \,m/s$

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Class 11 Questions

Class 11

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Chapter

Motion in Straight Line

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Relative Motion in One Dimension

What are the speeds of two objects if,when they move uniformly towards each other,they get $4\,m$ closer in each second and when they move uniformly in the same direction with the original speeds,they get $4.0\,m$ closer each $10\,s$?

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$A$ police party is moving in a jeep at a constant speed $v$. They see a thief at a distance $x$ on a motorcycle which is at rest. The moment the police see the thief,the thief starts moving with a constant acceleration $a$. Which of the following relations is true if the police are able to catch the thief?

DifficultTS EAMCET 2011

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$A$ bus starts moving with an acceleration of $2\,m/s^2$. $A$ cyclist,$96\,m$ behind the bus,starts moving simultaneously towards the bus at a constant speed of $20\,m/s$. After how many seconds will the cyclist be able to overtake the bus?

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On a foggy day,two drivers spot each other when $80\, m$ apart. They were travelling at $70\, km/h$ and $60\, km/h$. Both apply brakes simultaneously which retard the cars at the rate of $5\, m/s^2$. Which of the following statements is correct?

Medium

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Two particles start simultaneously from the same point and move along two straight lines,one with uniform velocity $v$ and the other with a uniform acceleration $a$. If $\alpha$ is the angle between the lines of motion of the two particles,then the least value of relative velocity will be at time given by

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$A$ train is running at a constant speed of $90 \,km/h$ on a straight track. $A$ person standing on the top of a bogie moves in the direction of motion of the train such that he covers $1 \,m$ on the train each second. The speed of the person with respect to the ground is .........

Similar Questions

What are the speeds of two objects if,when they move uniformly towards each other,they get $4\,m$ closer in each second and when they move uniformly in the same direction with the original speeds,they get $4.0\,m$ closer each $10\,s$?

$A$ bus starts moving with an acceleration of $2\,m/s^2$. $A$ cyclist,$96\,m$ behind the bus,starts moving simultaneously towards the bus at a constant speed of $20\,m/s$. After how many seconds will the cyclist be able to overtake the bus?

On a foggy day,two drivers spot each other when $80\, m$ apart. They were travelling at $70\, km/h$ and $60\, km/h$. Both apply brakes simultaneously which retard the cars at the rate of $5\, m/s^2$. Which of the following statements is correct?

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