Answer:
10.77 m
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 32 m/s
Angle of projection (θ) = 27°
Acceleration due to gravity (g) = 9.8 m/s²
Apogee i.e maximum height (H) =?
Thus, the apogee i.e the maximum height of the pumpkin can be obtained as follow:
H = u² Sine² θ /2g
H = 32² × (Sine 27)² / 2 × 9.8
H = 1024 × (0.454)² / 19.6
H = (1024 × 0.206116) / 19.6
H = 10.77 m
Thus, the apogee i.e the maximum height of the pumpkin is 10.77 m.
