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7 Path of a Projectile If a projectile is fired with an initial speed of...

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Calculus

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7 Path of a Projectile If a projectile is fired with an initial speed of u ft s at an angle a above the horizontal then its position after t seconds is given by the parametric equations y sin a r 161 x v cos a t where x and y are measured in feet Show that the path of the projectile is a parabola by eliminating the parameter 1 8 Path of a Projectile Referring to Exercise 37 suppose a gun fires a bullet into the air with an initial speed of 2048 ft s at an angle of 30 to the horizontal a After how many seconds will the bullet hit the ground b How far from the gun will the bullet hit the ground e What is the maximum height attained by the bullet

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