Problem

The human cannonball In the 1940s, the human cannon-ball stunt was performed regularly by...

The human cannonball In the 1940s, the human cannon-ball stunt was performed regularly by Emmanuel Zacchini for The Ringling Brothers and Barnum&Bailey Circus. The tip of the cannon rose 15 feet off the ground, and the total horizontal distance traveled was 175 feet. When the cannon is aimed at an angle of 45°, an equation of the parabolic flight (see the figure) has the form y =ax2+ x + c.

(a) Use the given information to find an equation of the flight.

(b) Find the maximum height attained by the human cannonball.

EXERCISE

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