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Q. A placekicker is about to kick a field goal. The ball is 27.1 m from the goal post. The ball is kicked with an initial velocity of 19.7 m/s at an angle θ above the ground. Between what two angles, θ1 and θ2, will the ball clear the 2.9-m-high crossbar? (Hint: The following trigonometric identities may be useful sec θ = 1/(cos θ) and sec2 θ = 1 + tan2 θ.)

Q. A mass of 2.62 kg stretches a vertical spring .315 m. if the spring is stretched an additional .130 m and released, how long does it take to reach the new equilibrium position?

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