A ball is thrown with a speed of at an angle of above the axis

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

A ball is thrown with a speed of

20\,\text{m/s}

at an angle of

60^\circ

above the

+x

axis. Two new perpendicular axes are defined: the

u

-axis is oriented

45^\circ

above the

+x

axis, and the

v

-axis is perpendicular to the

u

-axis. Calculate the components of the ball’s velocity along (i) the

u

-axis and (ii) the

v

-axis. Include signs and units.