A 45-caliber bullet shot straight up from the surface of the earth would reach a height of s(t) = 832t − 16t^2 after t seconds. 1. Find the bullets velocity function. 2. Find the bullets acceleration function. 3. How long does it take the bullet to reach its highest point? 4. How high does the bullet go? 5. When will the bullet be 816 feet in the air? Only questions 4 and 5!

1. 3.A helicopter blade spins at exactly 100 revolutions per minute. Its tip is 5.00 m from the center of rotation. (a) Calculate the average speed of the blade tip in the helicopter's frame of reference. (b) What is its average velocity over one revolution? 2. Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain. 3. A commuter backs her car out of her garage with an acceleration of (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration

13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h, and a curvature of radius R. What is the minimum height of the starting hill, himin, so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h₂, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground. h₁ to jump!

Prior to landing at the airport, an airplane flies at a constant speed in a circular course with aradius of 5000 meters. An observer notices that the plane completes each round trip in 400seconds.a. What is the speed of the airplane? b.Whats the centripetal acceleration?

H6. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h1. After the bottom of this hill there is a small “jump” hill. The top of the jump has height h2 and a curvature of radius R. What is the minimum height of the starting hill, h1min, so that the skier/snowboarder jumps or “catches air” at the top of hill 2? Solve for h1min in terms of h2, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground.

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A runner runs around a circular track. He completes one lap at a time if t=497s at a constant speed of v=3.9m/s. What is the radius r in meters of the track?what was the runners centripetal acceleration ac in m/s^2 during the run?

A 20.0 kg child is on a swing that hangs from 3.00-m-long chains, as shown in (Figure 1). Figure 3.0 m 45° 1 of 1

A motorcycle moves around a circular track whose radius 2.69km. . It goes once around the trac368 seconds. What is the magnitude of the capital acceleration of the bike?   A. 1.2  b.0.54 c.0.78 d.2.3 e.0.65

A 2kg toy is moving in a circle of radius 2.5 m with a speed of 3m/s.Calculate the centripetal acceleration of the toy? choose one correct answer with the correct units.   A. 3.6 m/s^2   B. 1.2 m/s^2   C. 3.6 m/s   D. 0.833 m/s^2