Acceleration at constant speed

Q. A particle is moving with constant acceleration $a$. The following graph shows $v^2$ versus $x$(displacement) plot. The acceleration of the particle is
${\text{ms}}^{-1}$

Q. A particle is moving with constant acceleration $a$. The following graph shows $v^2$ versus $x$(displacement) plot. The acceleration of the particle is
${\text{ms}}^{-1}$

Q. If the velocity of a body related to displacement $x$ is given by $v=\sqrt{5000+24x}\text{m/s},$ then the acceleration of the body is _____${\text{m/s}}^2.$

Q. Which of the following four statements is false

1. A body can have zero velocity and still be accelerated
2. A body can have a constant velocity and still have a varying speed
3. A body can have a constant speed and still have a varying velocity
4. The direction of the velocity of a body can change when its acceleration is constant

Q. The velocity $\left(V\right)$ versus displacement $\left(S\right)$ graph of a particle moving in a straight line is as shown in the figure. Given $V_o=4m/s$ and $S_o=20m.$ At what displacement do velocity and acceleration have the same magnitudes?

1. $\text{At}S=5m$
2. $\text{At}S=10m$
3. $\text{At}S=30m$
4. None of these