QN A child throws a stone <I>horizontally</I> from the edge of a vertical cliff with a speed of <eqn $v0x = &randnum(5, 15, 1);>m/s. It lands in the water below <eqn $t = &randnum(0.5, 4.5, 0.5);>s later. How high is the cliff?<_>m

<eqn $y0 = 0.5 * 9.8 * $t *$t; &fourfigs($y0);>

QN How far from the base of the cliff does the stone land?<_>m

<eqn $x = $v0x * $t; &fourfigs($x);>

QN What is the <I>horizontal</I> component of the stone's velocity just before it hits the water?<_>m/s

<eqn $v0x>

QN What is the <I>vertical</I> component of the stone's velocity just before it hits the water?<_>m/s

<eqn $vy = -9.8 * $t; &fourfigs($vy);>

QN What is the <I>speed</I> (magnitude of <B>v</B>) of the stone just before it hits the water?<_>m/s

<eqn $v = sqrt($v0x*$v0x + $vy*$vy); &fourfigs($v);>

QN What is the <I>direction</I> of <B>v</B> just before the stone hits the water?<_>degree. Express your answer in degrees away from the positive <I>x</I> axis, (that is, the usual convention for expressing an angle). Watch out for the sign!

<eqn $theta = 180.0 * atan2($vy, $v0x)/ $pi; &fourfigs($theta);>