Problems 35–37 investigate the motion of a projectile shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m∕sec2, and the muzzle velocity, υ0 = 500 m∕sec, at which the projectile leaves the cannon. The angle θ, in degrees, between the muzzle of the cannon and the ground can vary.
The range of the projectile is
- (a) Find the range with θ = 20°.
- (b) Find a linear function of θ that approximates the range for angles near 20°.
- (c) Find the range and its approximation from part (b) for 21°.
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