CAIE A-Level Physics 2.1.9 Uniform Velocity and Perpendicular Acceleration

Practise analysing projectile motion as independent horizontal velocity and vertical acceleration, calculating components, time, range or height.

Exam points

Resolve motion with uniform velocity in one direction and uniform perpendicular acceleration into components.
Describe or calculate the resulting path, velocity components, time, range or height.
Explain the independence of perpendicular components and check the trajectory and units.

[Maximum number: 2]

(a)

A delivery company suggests using a remote-controlled aircraft to drop a parcel into the garden of a customer. When the aircraft is vertically above point P on the ground, it releases the parcel with a velocity that is horizontal and of magnitude $5.4 \mathrm{~ms}^{-1}$ . The path of the parcel is shown in Fig. 2.1.

Fig. 2.1 (not to scale)

The parcel takes a time of 0.81 s after its release to reach point Q on the horizontal ground. Assume air resistance is negligible.

[ 2 ]

(i)

On Fig. 2.1, draw an arrow from point X to show the direction of the acceleration of the parcel when it is at that point.

[ 1 ]

(ii)

Calculate the horizontal distance d between points P and Q.

d=.....................................................\ \mathrm{m}

[ 1 ]

$\begin{aligned} d &= 5.4 \times 0.81 \\ &= 4.4\ \mathrm{m} \end{aligned}$

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2.1.9—Motion due to a uniform velocity in one direction and a uniform acceleration question 1

Question (a)

Question (i)

Question (ii)