5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s². What are (a) the track radius and (b) the period of the circular motion?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along
line of the path starts to run just as the ball is thrown. How fast, and in which direction, must the
person run to catch the ball at the level from which it was thrown?
2) If a baseball player can throw a ball at 45° to a point 100 m away horizontally to the initial
vertical level, how high could he throw it vertically upward?
3) A motorcyclist plans to jump across a gorge width 32.0 m. He takes off on a 18.0° ramp. What
minimum speed does he require if he lands at the initial level?
4) A projectile fired from the ground has a velocity i = 24.0 î –- 8.00 ĵ m/s at a height of
9.10 m. Find: (a) the initial velocity; (b) the maximum height.
5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a
centripetal acceleration of magnitude 3.80 m/s². What are (a) the track radius and (b) the period
of the circular motion?
6) A centripetal-acceleration addict rides in uniform circular motion with radius r= 3.00 m. At
one instant his acceleration is a = (6.00 m/s )i+(-4.00 m/s² )j. At that instant, what are the
values of (a) v-a and (b) rxa?
Transcribed Image Text:1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along line of the path starts to run just as the ball is thrown. How fast, and in which direction, must the person run to catch the ball at the level from which it was thrown? 2) If a baseball player can throw a ball at 45° to a point 100 m away horizontally to the initial vertical level, how high could he throw it vertically upward? 3) A motorcyclist plans to jump across a gorge width 32.0 m. He takes off on a 18.0° ramp. What minimum speed does he require if he lands at the initial level? 4) A projectile fired from the ground has a velocity i = 24.0 î –- 8.00 ĵ m/s at a height of 9.10 m. Find: (a) the initial velocity; (b) the maximum height. 5) sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s². What are (a) the track radius and (b) the period of the circular motion? 6) A centripetal-acceleration addict rides in uniform circular motion with radius r= 3.00 m. At one instant his acceleration is a = (6.00 m/s )i+(-4.00 m/s² )j. At that instant, what are the values of (a) v-a and (b) rxa?
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