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28. A car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m. How long does it take to achieve this speed?

28. A car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m. How long does it take to achieve this speed?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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#28 only please, thanks!
EXAMPLE Problem 4 Displacement An automobile starts at rest and speeds up at 3.5 m/s? after the traffic light turns green. How far will it have gone when it is traveling at 25 m/s? 1 Analyze and Sketch the Problem Sketch the situation. • Establish coordinate axes. • Draw a motion diagram, Begin End Known: Unknown: d, = 0.00 m V, = 0.00 m/s d, = ? Begine V = 25 m/s End a = a = 3.5 m/s? 2 Solve for the Unknown Solve for d- Math Handbook v? = v? + 2a(d, - d) Order of Operations page 843 d; = d + 2a pro (25 m/s)? – (0.00 m/s)? 2(3.5 m/s) = 0.00 m + Substitute d, = 0.00 m, v, = 25 m/s, v= 0.00 m/s ol sdo 3 = 89 m 3 Evaluate the Answer • Are the units correct? Position is measured in meters. • Does the sign make sense? The positive sign agrees with both the pictorial and physical models. • Is the magnitude realistic? The displacement is almost the length of a football field. It seems large, but 25 m/s is fast (about 55 mph); therefore, the result is reasonable. 23.m/ PRACTICE Problems Additional Problems, Appendix B 26. A skateboarder is moving at a constant velocity of 1.75 m/s when she starts up an incline that causes her to slow down with a constant acceleration of -0.20 m/s2.'How much time passes from when she begins to slow down until she begins to move back down the incline? 27. A race car travels on a racetrack at 44 m/s and slows at a constant rate to a velocity of 22 m/s over 11 s. How far does it move during this time? 28. A car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m. How long does it take to achieve this 29. A bike rider pedals with constant acceleration to reach a velocity of 7.5 m/s over a time of 4.5 s. During the period of acceleration, the bike's displacement is 19 m. What was the initial velocity of speed? the bike? Section 3.2 Motion with Constant Acceleration
Transcribed Image Text:EXAMPLE Problem 4 Displacement An automobile starts at rest and speeds up at 3.5 m/s? after the traffic light turns green. How far will it have gone when it is traveling at 25 m/s? 1 Analyze and Sketch the Problem Sketch the situation. • Establish coordinate axes. • Draw a motion diagram, Begin End Known: Unknown: d, = 0.00 m V, = 0.00 m/s d, = ? Begine V = 25 m/s End a = a = 3.5 m/s? 2 Solve for the Unknown Solve for d- Math Handbook v? = v? + 2a(d, - d) Order of Operations page 843 d; = d + 2a pro (25 m/s)? – (0.00 m/s)? 2(3.5 m/s) = 0.00 m + Substitute d, = 0.00 m, v, = 25 m/s, v= 0.00 m/s ol sdo 3 = 89 m 3 Evaluate the Answer • Are the units correct? Position is measured in meters. • Does the sign make sense? The positive sign agrees with both the pictorial and physical models. • Is the magnitude realistic? The displacement is almost the length of a football field. It seems large, but 25 m/s is fast (about 55 mph); therefore, the result is reasonable. 23.m/ PRACTICE Problems Additional Problems, Appendix B 26. A skateboarder is moving at a constant velocity of 1.75 m/s when she starts up an incline that causes her to slow down with a constant acceleration of -0.20 m/s2.'How much time passes from when she begins to slow down until she begins to move back down the incline? 27. A race car travels on a racetrack at 44 m/s and slows at a constant rate to a velocity of 22 m/s over 11 s. How far does it move during this time? 28. A car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m. How long does it take to achieve this 29. A bike rider pedals with constant acceleration to reach a velocity of 7.5 m/s over a time of 4.5 s. During the period of acceleration, the bike's displacement is 19 m. What was the initial velocity of speed? the bike? Section 3.2 Motion with Constant Acceleration
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