A projectile is shot from a cannon. The fixed parameters are the acceleratilon of gravity, g= 9.8m/sec2, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The time that the projectile stays in the air is 210 sin = 102 sin 180 seconds. 180 (0) %3D (a) Find the time in the air for 0 = 15° Round your answer to one decimal place. Time in air = i seconds %3D eTextbook and Media (b) Find a linear function of 0that approximates the time in the air for angles near 15. Specifically, fill in the missing numbers below for the local linearization of r at 0 = 15". Round your answers to one decimal place. r(0) = i (0 – 15) seconds eTextbook and Media (c) Find (i) the time in the air and (ii) its approximation from part (b) for 16°. Round your answers to one decimal place. () Time in air = seconds. (ii) Approximate time in air seconds.

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