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.)

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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 lowest point.
Transcribed Image Text: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 lowest point.
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