The 13 m high Slip'n'Fly waterslide launches its riders at a 50 degree angle into the air. Assuming the slide is frictionless, at what speed will a 70 kg adult
be launched into the air when starting from rest at the top of the slide? What
will be the maximum height of the adult in the air (neglecting air resistance)?
How far, horizontally, from the starting point (when entering the top of the slide) will the adult travel ? answer asap

10.71m/s

Explanation:

Mechanical energy is conserved since the ramp surface had no friction and the experiences no significant air resistance

Potential energy at the top of the ramp = mgh

where m is m, g = 9.8 m/s² ( acceleration due to gravity ) and h is height

since the length of the surface L of the ramp is 20.0 m and it is inclined at 17°

h, height = Lsinθ = 20 sin 17° = 5.85 m

kinetic energy of the block = mv²

potential energy = kinetic energy

m × 9.8 × 5.85 m = mv²

cancel m on both side

v = √(2 × 9.8 × 5.85) = 10.71m/s