Two trains, which are moving along different | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The initial distance between the trains is $d_0 = 300 \, m$.The distance covered by a train is equal to the area under its velocity-time graph.For

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(B) The initial distance between the trains is $d_0 = 300 \, m$.The distance covered by a train is equal to the area under its velocity-time graph.For Train $I$, the area under the $v-t$ graph is $A_1 = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 10 \, s 	imes 40 \, m/s = 200 \, m$.For Train $II$, the magnitude of the area under the $v-t$ graph is $A_2 = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 8 \, s 	imes 20 \, m/s = 80 \, m$.Since the trains are moving in opposite directions towards each other, the total distance covered by both trains before stopping is $d_{total} = A_1 + A_2 = 200 \, m + 80 \, m = 280 \, m$.The final separation between the trains when both have stopped is $d_{final} = d_0 - d_{total} = 300 \, m - 280 \, m = 20 \, m$.

Similar Questions

The figure shows a velocity-time graph of a particle moving along a straight line. Identify the region in which the magnitude of the rate of change of velocity $\left| \frac{\Delta \vec{v}}{\Delta t} \right|$ of the particle is maximum.

The distance travelled by a particle is related to time $t$ as $x = 4t^2$. The velocity of the particle at $t = 5 \, s$ is $......... \, ms^{-1}$.

The speed versus time graph for a particle is shown in the figure. The distance travelled (in $m$) by the particle during the time interval $t=0$ to $t=5\, s$ will be

The displacement $(x)$ - time $(t)$ graph of a particle is shown in the figure. Which of the following is correct?

$A$ bird flies for $4 \, s$ with a velocity of $|t - 2| \, m/s$ in a straight line,where $t$ is time in seconds. It covers a distance of ......... $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module