Take this Quiz: A-Level Maths: Mechanics | Zestly

Question 1

A particle moves in a straight line with velocity $v = 3t^2 - 4t + 2$ m/s, where $t$ is time in seconds. Calculate the displacement of the particle from $t = 0$ to $t = 3$ seconds.

Accepted Answer

15 m

Question 2

A projectile is launched from ground level with an initial velocity of $20$ m/s at an angle of $30^\circ$ to the horizontal. Assuming $g = 9.8$ m/s$^2$, which of the following statements are true regarding its motion? (Select all that apply)

Accepted Answer

The horizontal component of velocity remains constant throughout the flight.

Question 3

Two particles of mass $3$ kg and $5$ kg are connected by a light inextensible string passing over a smooth fixed pulley. The system is released from rest. What is the magnitude of the acceleration of the system? (Use $g = 9.8$ m/s$^2$)

Accepted Answer

2.45 m/s$^2$

Question 4

A block of mass $10$ kg rests on a rough horizontal surface. The coefficient of friction is $\mu = 0.4$. A horizontal force $P$ is applied to the block. Which of the following conditions must be met for the block to move? (Select all that apply)

Answer

$P > 4$ N

Answer

$P > 39.2$ N

Answer

$P > \mu mg$

Answer

$P < 40$ N

Question 5

A car accelerates uniformly from $10$ m/s to $30$ m/s over a distance of $100$ m. What is the acceleration of the car?

Answer

4 m/s$^2$

Answer

5 m/s$^2$

Answer

8 m/s$^2$

Answer

10 m/s$^2$