Question

TOOP TREIBle answers in the space provided. 1 Whst is the shugle of a projectile launcheed fron the ground which has a maxinum height that is hals its maximum range?

Answer 1

answer 1) the maximum range is given by

Rmax=1/2 v²sin2$\Theta$/g............1)

and maximum height is given by

H=v²sin²$\Theta$/2g......2)

equating 1 and 2 we have

v²sin²$\Theta$/2g=1/2*v²sin2$\Theta$/g

2sin²$\Theta$/2=2sin$\Theta$cos$\Theta$

sin$\Theta$=2cos$\Theta$

tan$\Theta$=2

$\Theta$=tan^-1(2)=63.4^o

so the answer is 63.4^o