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If a projectile is fired with an initial velocity of v 0 meters per second at an

ID: 2851257 • Letter: I

Question

If a projectile is fired with an initial velocity of v0 meters per second at an angle above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations

x = (v0cos )t    y = (v0sin )t (1/2)gt^2

where g is the acceleration due to gravity (9.8 m/s2). (Round your answers to the nearest whole number.)

(a) If a gun is fired with = 30° and v0 = 800 m/s. When will the bullet hit the ground?

(b) Find the equation of the parabolic path by eliminating the parameter.

Explanation / Answer

If a projectile is fired with an initial velocity of v 0 meters per second at an

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