Answer all the questions in the spaces provided. (a) Define (i) displacement, (ii) acceleration. (b) A remote-controlled toy car moves up a ramp and travels across a gap to land on another ramp, as illustrated in Fig. 1.1. The car leaves ramp P with a velocity of $5.5\ \text{m s}^{-1}$ at an angle $\theta$ to the horizontal. The horizontal component of the car’s velocity as it leaves the ramp is $4.6\ \text{m s}^{-1}$. The car lands at the top of ramp Q. The tops of both…

Physics 9702/21 — October/November 2018

Cambridge AS Level · AS Level Structured Questions · worked solutions for every part, with the mark scheme

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Topics Dynamics · Kinematics · Work, Energy and Power · Physical Quantities and Units · Forces, Density and Pressure · Superposition · +5 more

Q1KinematicsPhysical Quantities and UnitsWork, Energy and PowerFree sample

Answer all the questions in the spaces provided.

(a)

Define

(i)

displacement,

(ii)

acceleration.

(b)

A remote-controlled toy car moves up a ramp and travels across a gap to land on another ramp, as illustrated in Fig. 1.1.

Fig. 1.1

The car leaves ramp P with a velocity of $5.5\ \text{m s}^{-1}$ at an angle $\theta$ to the horizontal. The horizontal component of the car’s velocity as it leaves the ramp is $4.6\ \text{m s}^{-1}$ . The car lands at the top of ramp Q. The tops of both ramps are at the same height and are distance $d$ apart. Air resistance is negligible.

(i)

Show that the car leaves ramp P with a vertical component of velocity of $3.0\ \text{m s}^{-1}$ .

(ii)

Determine the time taken for the car to travel between the ramps.

time taken = ______ $\text{s}$

(iii)

Calculate the horizontal distance $d$ between the tops of the ramps.

$d$ = ______ $\text{m}$

(iv)

Calculate the ratio

\frac{\text{kinetic energy of the car at its maximum height}}{\text{kinetic energy of the car as it leaves ramp P}}

ratio = ______

(c)

Ramp Q is removed. The car again leaves ramp P as in (b) and now lands directly on the ground. The car leaves ramp P at time $t = 0$ and lands on the ground at time $t = T$ .

On Fig. 1.2, sketch the variation with time $t$ of the vertical component $v_y$ of the car’s velocity from $t = 0$ to $t = T$ . Numerical values of $v_y$ and $t$ are not required.

Fig. 1.2

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