J J Science Academy

1. If a car travels at a constant velocity of $20 \, \text{m/s}$ for $10 \, \text{s}$, what is the distance covered?

(1) $100 \, \text{m}$ (2) $200 \, \text{m}$ (3) $300 \, \text{m}$ (4) $400 \, \text{m}$

2. A ball is dropped from a height of $h$. If air resistance is negligible, the time taken for the ball to reach the ground is given by:

(1) $t = \sqrt{2h/g}$ (2) $t = 2h/g$ (3) $t = \sqrt{h/2g}$ (4) $t = h/2g$

3. Which of the following graphs best represents uniform acceleration?

Graph representing acceleration
(1) Velocity-time graph with a constant positive slope. (2) Position-time graph with a constant positive slope. (3) Acceleration-time graph with a constant positive slope. (4) Velocity-time graph with zero slope.

4. A projectile is launched at an angle $\theta$ to the horizontal. The horizontal range $R$ is given by $R = \frac{v_0^2 \sin(2\theta)}{g}$. What angle maximizes the range for a given initial velocity $v_0$?

(1) $15^\circ$ (2) $30^\circ$ (3) $45^\circ$ (4) $60^\circ$

5. Consider Newton's second law of motion, which states that the force $F$ acting on an object is equal to the product of its mass $m$ and acceleration $a$. $$F = ma$$ If a force of $10 \, \text{N}$ acts on an object of mass $2 \, \text{kg}$, what is its acceleration?

(1) $2 \, \text{m/s}^2$ (2) $5 \, \text{m/s}^2$ (3) $10 \, \text{m/s}^2$ (4) $20 \, \text{m/s}^2$