Question

When the horizontal range of an obliquely projected body is maximum show that if is four times greater than the maximum height reached

Answer 1

Answer:

R=u²sin2∅/g, H=u²sin²∅/2g

Explanation:

R=4h

u²sin2∅/g =4u²sin²∅/2g

=sin2∅/g=4sin²∅/2g

=2sin∅cos∅/g=4sin²∅/2g

=2cos∅/g=4sin∅/2g

=2cos∅=4sin∅/2

=4cos∅=4sin∅

=4/4=tan∅

=1=tan∅

=∅=(tan)-1

=∅=45°