A body is moving with a uniform acceleration | vedclass

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

Question

(A) Let the initial velocity be $u$ and acceleration be $a$.For the first $4\,s$ (from $A$ to $B$): Using the equation of motion $s = ut + \frac{1}{2}

Vedclass · Accepted Answer

$0, 5\,m/s^2$

Vedclass · Answer

(A) Let the initial velocity be $u$ and acceleration be $a$.For the first $4\,s$ (from $A$ to $B$): Using the equation of motion $s = ut + \frac{1}{2}at^2$,we have:$40 = u(4) + \frac{1}{2}a(4)^2$$40 = 4u + 8a$Dividing by $4$,we get: $u + 2a = 10$  --- $(i)$For the total time of $8\,s$ (from $A$ to $C$): The total distance covered is $40\,m + 120\,m = 160\,m$.$160 = u(8) + \frac{1}{2}a(8)^2$$160 = 8u + 32a$Dividing by $8$,we get: $u + 4a = 20$  --- $(ii)$Subtracting equation $(i)$ from $(ii)$:$(u + 4a) - (u + 2a) = 20 - 10$$2a = 10 \implies a = 5\,m/s^2$Substituting $a = 5$ in equation $(i)$:$u + 2(5) = 10$$u + 10 = 10 \implies u = 0\,m/s$Thus,the initial velocity is $0\,m/s$ and acceleration is $5\,m/s^2$.

$A$ body is moving with a uniform acceleration covers $40\,m$ in the first $4\,s$ and $120\,m$ in next $4\,s.$ Its initial velocity and acceleration are

Similar Questions

$A$ particle is moving with constant acceleration $a$. The following graph shows the $v^{2}$ versus $x$ (displacement) plot. The acceleration of the particle is $...... \text{m/s}^{2}$.

The velocity $u$ and displacement $r$ of a body are related as $u^2 = kr$,where $k$ is a constant. What will be the velocity after $1 \, s$? (Given that the displacement is zero at $t = 0$)

If a train travelling at $72 \text{ km/h}$ is to be brought to rest in a distance of $200 \text{ m}$,then its retardation should be ............ $\text{m/s}^2$.

$A$ 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)

$A$ body is moving along a straight line with initial velocity $v_0$. Its acceleration $a$ is constant. After $t$ seconds,its velocity becomes $v$. The average velocity of the body over the given time interval is

Vedclass Test Series

Exam Paper Generator

Online Exam Module