A-Level Physics: Kinematics and Projectiles

Kinematics is the load-bearing wall of A-Level mechanics: every later topic — forces, momentum, circular motion — assumes fluent SUVAT work and comfortable vector thinking. This quiz secures that base with projectiles as the capstone.

The vector questions establish the toolkit: distinguishing scalars (distance, speed) from vectors, and resolving a velocity given in component form into magnitude and direction — the 3-4-5 triangle yielding 5 m/s at 53.1°, worked through Pythagoras and arctangent.

The SUVAT questions cover the standard repertoire with concrete values: a dropped ball's fall time from 44.1 m, a cyclist's acceleration from the v² = u² + 2as route, and a scenario-classification question on what genuinely counts as non-zero acceleration — including the direction-change-at-constant-speed case that catches out anyone equating acceleration with speeding up.

Projectiles get the fullest treatment, built on the principle the explanations keep returning to: horizontal and vertical motions are independent. Questions cover the vertical component of a launch velocity (resolved with sine), the horizontally-thrown ball where fall time comes purely from the vertical equation while range comes purely from the horizontal one, maximum height from the launch speed and angle, and the true-statement selection on what stays constant (horizontal velocity) and what determines flight time (vertical motion only).

Graph interpretation completes the set: gradient as acceleration and area as displacement on a velocity-time graph. Each question supplies g and all needed values — data-booklet style — and each explanation shows the substitution in full, modelling the working the exam expects to see.

  • Resolve vectors into components and recover magnitude and direction
  • Apply SUVAT equations fluently with given values
  • Treat projectile motion as independent horizontal and vertical problems
  • Identify non-zero acceleration in scenarios including direction change
  • Read acceleration and displacement from velocity-time graphs

Topic scope follows the kinematics content of A-level physics — as organised, for example, in section 3.4.1 (Force, energy and momentum) of the AQA A-level Physics (7408) specification: scalars and vectors, uniformly accelerated motion, projectile motion with independent components, and motion graphs.

Sample question

A ball is thrown horizontally at 15 m/s from the top of a cliff and follows a curved path down to the flat ground below.

A ball is thrown horizontally from a cliff at $15 \text{ m/s}$. If it hits the ground $2.0 \text{ s}$ later, which of the following statements are true? (Assume $g = 9.81 \text{ m/s}^2$)

See the answer

The horizontal distance travelled is $30 \text{ m}$., The vertical displacement is $19.62 \text{ m}$.

Horizontal distance $x = v_x \cdot t = 15 \cdot 2 = 30 \text{ m}$. Vertical displacement $s_y = 0.5 \cdot g \cdot t^2 = 0.5 \cdot 9.81 \cdot 4 = 19.62 \text{ m}$.

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