A body starts from rest and moves with consta | vedclass

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

Question

(C) Let the total time be $t$ and acceleration be $a$. The initial velocity $u = 0$.For the first half of the time,$t_{1} = t/2$:$x_{1} = u t_{1} + \f

Vedclass · Accepted Answer

$x_{2} = 3x_{1}$

Vedclass · Answer

(C) Let the total time be $t$ and acceleration be $a$. The initial velocity $u = 0$.For the first half of the time,$t_{1} = t/2$:$x_{1} = u t_{1} + \frac{1}{2} a t_{1}^{2} = 0 + \frac{1}{2} a (t/2)^{2} = \frac{1}{8} a t^{2}$.For the total time $t$,the total distance $x_{total} = x_{1} + x_{2} = \frac{1}{2} a t^{2}$.Substituting $x_{1} = \frac{1}{8} a t^{2}$ into the total distance equation:$\frac{1}{8} a t^{2} + x_{2} = \frac{1}{2} a t^{2}$.$x_{2} = \frac{1}{2} a t^{2} - \frac{1}{8} a t^{2} = \frac{4-1}{8} a t^{2} = \frac{3}{8} a t^{2}$.Comparing $x_{1}$ and $x_{2}$:$x_{2} = 3 	imes (\frac{1}{8} a t^{2}) = 3 x_{1}$.

$A$ body starts from rest and moves with constant acceleration for $t$ seconds. It travels a distance $x_{1}$ in the first half of the time and $x_{2}$ in the next half of the time. Then:

Similar Questions

When are the acceleration and average acceleration equal for a moving object?

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 $v$ of a particle as a function of its position $x$ is expressed as $v = \sqrt{c_1 - c_2 x}$,where $c_1$ and $c_2$ are positive constants. The acceleration of the particle is

The position of a particle as a function of time $t$ is given by $x(t) = at + bt^2 - ct^3$,where $a, b,$ and $c$ are constants. When the particle attains zero acceleration,its velocity will be:

The initial velocity of the particle is $10 \ m/s$ and its retardation is $2 \ m/s^2$. The distance moved by the particle in the $5^{th}$ second of its motion is .......... $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module