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- 6. A long-jumper leaves the ground at an angle of 20.0° above the horizontal and at a speed of 11.0 m/s. (a) How far does he jump in the horizontal direction? (Assume his motion is equivalent to that of a particle.) 7. An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is the free-fall acceleration on the planet? 8. A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find the speed and acceleration of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference of its path, 2nr.) 9. A student attaches a ball to the end of a string 0.600 m in length and then swings the ball in a vertical circle. The speed of the ball is 4.30 m/s at its highest point and 6.50 m/s at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at (a) its highest point and (b) its…5. A baseball is hit off the edge of a cliff horizontally at a speed 30 ms?. It takes the ball 3 seconds to reach the ground, with no air resistance. (g=9.81 ms?) a) How far from the cliff wall does the ball land? b) How high is he cliff wall?1. A dog leaps off the edge of a cliff to land in a pool of water below. The dog leaves the cliff with an initial velocity of 1.6 m/s at an angle of 32° above the horizontal. The vertical height of the cliff above the water is 2.3 m. What is the dog's velocity (magnitude and direction) at the instant before he hits the water?
- 5. A baseball is hit off the edge of a cliff horizontally at a speed 30 ms?. It takes the ball 3 seconds to reach the ground, with no air resistance. (g=9.81 ms?) (10 points) a) How far from the cliff wall does the ball land? b) How high is he cliff wall?An airplane traveling horizontally 1600 m above the ocean at 68.2 m/s must drop a box of rescue supplies to sailors stranded on a remote island. 3. How many seconds before being directly above the sailors should the pilot release the box of rescue supplies? (Air resistance is negligible.) a. Time = b. Given the drop time above, what is the horizontal distance between the airplane and the stranded sailors when the box of rescue supplies must be released? (Air resistance is negligible.) Distance =A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up It accelerates upward at 35 m/s? for 33s, then runs out of fuel. Ignore any air resistance effects. What is the rockets altitude? How long is the rocket in the air before hitting the ground?
- 3. A stuntman runs off the top of a roof horizontally at a speed of 7.5 m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The horizontal distance between the two buildings is 4.0 m, and the roof of the adjacent building is 2.0 m below the jumping-off point. Does the stuntman make it to the rooftop of the adjacent building?6. A ball is thrown at a 40.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 18.0 m/s. What is the maximum height above the ground that the ball reaches?1. While hiking in Algonquin Provincial Park, you come to the top of a cliff that is 76.8 m high. You throw a stone from the cliff, giving it an initial velocity of 24.6 m/s at 39 above the horizontal. How far from the base of the cliff does the stone land? 2. During a war between two countries, a shell is fired from a canon perched horizontally on a cliff that is 41m above a ground. The speed of the shell is 74.6 m/s and it is fired horizontally (a) Determine the horizontal range of the shell. (b) Determine the velocity of the shell as it strikes the ground. A gym teacher is fired from a cannon into a net (as part of a circus act) that is situated 4.0 m above the cannon and some distance from it. The cannon is elevated at 46.02 to the horizontal and the teacher's speed at launch is 23.9 m/s. 3. (a) Find the horizontal distance from the cannon where the net needs to placed in order for the teacher to land in it. (b) Calculate the teacher's velocity as he lands in the net. 4. Messi…
- 3. A ball is thrown upwards at 13.0 m/s toward the ceiling located 6 m above the point where you release the ball. Air resistance is negligible. Objects falling near the earth's surface with no forces acting except gravity have a downwards acceleration of magnitude g. For this problem use g = 10 m/s². Write any equation you use in symbolic form before substituting in numbers. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the a. picture by indicating the location of the origin and position direction. b. Find the time taken to reach the ceiling. Find the velocity just before the ball touches the ceiling. C.1. Bob Beamon, an Olympic long jumper, can jump 8.90 meters. How long will he be in the air and how high will he travel if his horizontal speed is 9.1 m/s when he leaves the ground? Assume he lands upright, just as he did when he first hit the ground.Physics 5. A football is punted into the air. It has an initial vertical velocity of 15 m/s when it leaves the kicker's foot (air resistance is negligible). A- What is the vertical velocity 1, 1.5, and 2 seconds after it leaves the kicker's foot? B- What is the vertical position 1, 1.5, and 2 seconds after it leaves the kicker's foot?
