A rescue drone starts from the control tower located at the point on an – ground…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A rescue drone starts from the control tower located at the point

(2\,\text{m},-3\,\text{m})

on an

x

–

y

ground reference frame. The drone then flies

40\,\text{m}

in a straight line making an angle of

30^{\circ}

above the positive

x

–axis. Answer the following: (i) Write the expressions for the

x

– and

y

–components of this displacement in terms of its magnitude

d

and its direction angle

\theta

measured from the positive

x

–axis. (ii) Calculate the numerical values of the

x

– and

y

–components of the given displacement. (iii) Hence determine the final coordinates of the drone relative to the same reference frame.