A body is dropped from a certain height h (h | vedclass

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

Question

(C) Let the first body be $1$ and the second body be $2$.For the first body,initial velocity $u_1 = 0$ and acceleration $a_1 = -g$.For the second body

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(C) Let the first body be $1$ and the second body be $2$.For the first body,initial velocity $u_1 = 0$ and acceleration $a_1 = -g$.For the second body,initial velocity $u_2 = -5 \, m/s$ (downward) and acceleration $a_2 = -g$.The relative initial velocity is $u_{	ext{rel}} = u_1 - u_2 = 0 - (-5) = 5 \, m/s$.The relative acceleration is $a_{	ext{rel}} = a_1 - a_2 = -g - (-g) = 0 \, m/s^2$.The relative displacement after time $t = 3 \, s$ is given by $s_{	ext{rel}} = u_{	ext{rel}} t + \frac{1}{2} a_{	ext{rel}} t^2$.Substituting the values,$s_{	ext{rel}} = 5 	imes 3 + 0 = 15 \, m$.Thus,the difference in the heights of the two bodies after $3 \, s$ is $15 \, m$.

$A$ body is dropped from a certain height $h$ ($h$ is very large) and a second body is thrown downward with a velocity of $5 \, m/s$ simultaneously. What will be the difference in the heights of the two bodies after $3 \, s$?

Similar Questions

$A$ body is thrown vertically upwards with velocity $u$. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity $u$ is given by.........$m/s$ $(g = 9.8\, m/s^{2})$

Two bodies of masses $m_1$ and $m_2$ are dropped from two different heights $h_1$ and $h_2$ respectively. The ratio of the times taken by the two masses to touch the ground is (neglect air resistance)

From the top of a tower,a particle is thrown vertically downwards with a velocity of $10\; m/s$. The ratio of the distances covered by it in the $3^{rd}$ and $2^{nd}$ seconds of the motion is (Take $g = 10\; m/s^2$).

$A$ ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if air resistance is not ignored?

$A$ balloon is at a height of $81\, m$ and is ascending upwards with a velocity of $12\, m/s$. $A$ body of $2\, kg$ weight is dropped from it. If $g = 10\, m/s^2$,the body will reach the surface of the earth in ......... $s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module