Answer:
Vā = 45.81 m/s
H = 70.45 m
T = 5.36 s
Explanation:
The motion of the spare is projectile motion. Therefore, we will first use the formula of range of projectile:
R = Vā² Sin 2Īø/g
where,
R = Range of Projectile = 201.24 m
Vā = Initial Speed = ?
θ = Launch Angle = 35°
g = 9.8 m/s²
Therefore,
201.24 m = Vā²[Sin 2(35°)]/9.8 m/s²
Vā = ā[(201.24 m)/(0.095 m/s²)
Vā = 45.81 m/s
Now, for maximum height:
H = Vā² Sin² Īø/g
H = (45.81 m/s)² Sin² 35°/9.8 m/s²
H = 70.45 m
For the total time of flight:
T = 2 Vā Sin Īø/g
T = 2(45.81 m/s) Sin 35°/9.8 m/s²
T = 5.36 s