A body travelling with uniform acceleration c | vedclass

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

Question

(B) Let the acceleration of the body be $a$ and the distance between points $A$ and $B$ be $d$. Using the equation of motion $v^2 = u^2 + 2as$: For th

Vedclass · Accepted Answer

$25.5 \,m/s$

Vedclass · Answer

(B) Let the acceleration of the body be $a$ and the distance between points $A$ and $B$ be $d$. Using the equation of motion $v^2 = u^2 + 2as$: For the path from $A$ to $B$: $(30)^2 = (20)^2 + 2ad$ $900 = 400 + 2ad$ $2ad = 500$ $ad = 250$ Let $v_m$ be the velocity at the midpoint of $AB$. The distance from $A$ to the midpoint is $d/2$. Using the equation of motion for the path from $A$ to the midpoint: $v_m^2 = (20)^2 + 2a(d/2)$ $v_m^2 = 400 + ad$ Substituting $ad = 250$: $v_m^2 = 400 + 250 = 650$ $v_m = \sqrt{650} \approx 25.495 \,m/s \approx 25.5 \,m/s$.

$A$ body travelling with uniform acceleration crosses two points $A$ and $B$ with velocities $20 \,m/s$ and $30 \,m/s$ respectively. The speed of the body at the midpoint of $A$ and $B$ is (nearly)

Similar Questions

$A$ graph between the square of the velocity of a particle and the distance $s$ moved by the particle is shown in the figure. The acceleration of the particle is $...........m/s^2$.

An object moves in a straight line with deceleration whose magnitude varies with velocity as $3 v^{2/3}$. If at an initial point,the velocity is $8 \,m/s$,then the distance travelled by the object before it stops is (in $\,m$)

The velocity of a train increases uniformly from $20 \; km/h$ to $60 \; km/h$ in $4 \; hours$. The distance travelled by the train during this period is .......... $km$.

Two bodies $A$ and $B$ start from the same point at the same instant and move along a straight line. Body $A$ moves with uniform acceleration $a$ and body $B$ moves with uniform velocity $V$. They meet after time $t$. The value of $t$ is

An alpha particle enters a hollow tube of $4 \, m$ length with an initial speed of $1 \, km/s$. It is accelerated in the tube and comes out of it with a speed of $9 \, km/s$. The time for which it remains inside the tube is

Vedclass Test Series

Exam Paper Generator

Online Exam Module