A small pumpkin is launched from a very versatile catapult at a variety of speeds and angles. The angles are measured relative to the horizontal. Rank each of the following trials by the maximum height reached by the pumpkin. (1=highest) Consider air resistance to be negligible.

Speed: 27.9m/s, Angle: 33.8∘,
Speed: 7.8m/s, Angle: 65.6∘,
Speed: 38.1m/s, Angle: 42.1∘,and
Speed: 24.3m/s, Angle: 69.5∘

Explanation:

Maximum height reached

H = u²sin²θ / 2g

For speed=27.9m/s, Angle= 33.8∘,

H=  (27.9 sin33.8)² / 2g

= 12.29 m

For speed = 7.8m/s, Angle=65.6∘

H=  (7.8 sin65.6 )² / 2g

= 2.57 m

For speed=38.1m/s, Angle=42.1∘,

H = (38.1 sin42.1 )² / 2g

= 33.28 m

For speed=24.3m/s, Angle=69.5∘,

H = (24.3sin69.5)² / 2g

= 26.43 m  

Rank 1  --     Speed: 38.1m/s, Angle: 42.1∘,

Rank 2  Speed: 24.3m/s, Angle: 69.5∘

Rank 3 Speed: 27.9m/s, Angle: 33.8∘,

Rank 4 Speed: 7.8m/s, Angle: 65.6∘,

mistakes are ok