Question

How far will a stone travel over level ground if it

is thrown upward at an angle of 30º with the

horizontal and with a speed of 12 ms–1? What

maximum range could be achieved with the same

initial speed?​

Answer 1

Range=

$\frac{ {u}^{2} {sin2} \alpha }{g}$

=

$\frac{ {12}^{2} \sin(2(30)) }{10}$

=

$\frac{( \frac{ \sqrt{3} }{2} )144}{10} = 12.47m$

Range is maximum when

$\sin( 2 \alpha ) = 1$

Range maximum=

$\frac{144}{10}$

=14.4m