$3)$ A projectile is fired with an initial speed of $200$ meters per second and an angle of elevation of $60$ degrees.

a$)$ Find the range of the projectile.

b$)$ Find the maximum height attained by the projectile.

c$)$ Find the speed of the projectile at impact.

$4)$ A gun has a muzzle speed of $150$ meters per second. Find two angles of elevation that can be used to hit a target $800$ meters away.

$5)$ A dare$-$devil is planning to jump a narrow section of the Grand Canyon on his rocket$-$propelled motorcycle. He fires up the rockets $($which accelerate the motorcycle in the horizontal direction$)$ and drives towards the cliff, leaving the edge of the cliff traveling horizontal to the ground at $\backslash (45\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The rockets maintain a constant acceleration all the way across the canyon, and he lands $30$ m horizontally and $2$ m vertically below where he left the other edge of the canyon. What minimum acceleration did the rockets have to provide for him to make a successful landing on the other side?