1. The length of an American football field is 200yd, excluding the end zones. How long...
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1. The length of an American football field is 200yd, excluding the end zones. How long is the field in meters? Assume that 1-meter equals 3.281 feet. 2. The speed limit on some interstate highways is roughly 70 miles/h. What is this in a) kilometers per hour b) Meter per second? Given: 1 km 0.621 mile 3. Suppose that your bathroom scale reads your mass as 65 kg with a 3% uncertainty. What is the uncertainty in your mass (in kilograms)? 4. An object moves from point A to point B to point C, then back to point B and then to point C along the line shown in the figure below. a) Find the distance covered by the moving object. b) Find the magnitude and direction of the displacement of the object. Okm 1km 2km 3km B 4km SHM 6km 7km 8km 9km 10km 5. Is it possible for velocity to be constant while acceleration is not zero? Explain. 11km 6. A cheetah can accelerate from rest to a speed of 30.0 m/s in 7.00 s. What is its acceleration? 7. How tall is a building if a ball dropped from rest takes 10 seconds to hit the ground? 8. The North American and European continents are moving apart at a rate of about 3 cm/y. At this rate how long will it take them to drift 500 km farther apart than they are at present? 9. (a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. (b) How long would it take to reach the ground if it is thrown straight down with the same speed? 10. At the end of a race, a runner decelerates from a velocity of 10.00 m/s at a rate of 3.00 m/s². (a) How far does she travel in the next 10.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense? 1. The length of an American football field is 200yd, excluding the end zones. How long is the field in meters? Assume that 1-meter equals 3.281 feet. 2. The speed limit on some interstate highways is roughly 70 miles/h. What is this in a) kilometers per hour b) Meter per second? Given: 1 km 0.621 mile 3. Suppose that your bathroom scale reads your mass as 65 kg with a 3% uncertainty. What is the uncertainty in your mass (in kilograms)? 4. An object moves from point A to point B to point C, then back to point B and then to point C along the line shown in the figure below. a) Find the distance covered by the moving object. b) Find the magnitude and direction of the displacement of the object. Okm 1km 2km 3km B 4km SHM 6km 7km 8km 9km 10km 5. Is it possible for velocity to be constant while acceleration is not zero? Explain. 11km 6. A cheetah can accelerate from rest to a speed of 30.0 m/s in 7.00 s. What is its acceleration? 7. How tall is a building if a ball dropped from rest takes 10 seconds to hit the ground? 8. The North American and European continents are moving apart at a rate of about 3 cm/y. At this rate how long will it take them to drift 500 km farther apart than they are at present? 9. (a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. (b) How long would it take to reach the ground if it is thrown straight down with the same speed? 10. At the end of a race, a runner decelerates from a velocity of 10.00 m/s at a rate of 3.00 m/s². (a) How far does she travel in the next 10.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?
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Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
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