Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s and it accelerates at 2.00 m/s², how long does it take to travel the 200 m up the ramp? (Such information migh useful to a traffic engineer.) (a) Using the notation Ax for displacement, v for the final velocity, vo for the initial velocity, a for acceleration, and t for time, determine what quantities are known and what are unknown. • Enter the values of some known quantities below. • Make sure you account for the signs of the vectors using the coordinate system used in Part 1. Note: This question has 7 attempts Enter to 3 significant figures Ax= Vo m/s m/s² (b) Is the acceleration constant? = m a =

Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s and it accelerates at 2.00 m/s², how long does it take to travel the 200 m up the ramp? (Such information migh useful to a traffic engineer.) (a) Using the notation Ax for displacement, v for the final velocity, vo for the initial velocity, a for acceleration, and t for time, determine what quantities are known and what are unknown. • Enter the values of some known quantities below. • Make sure you account for the signs of the vectors using the coordinate system used in Part 1. Note: This question has 7 attempts Enter to 3 significant figures Ax= Vo m/s m/s² (b) Is the acceleration constant? = m a =

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

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In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
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Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
Automobile traffic passes a point P on a road of width w feet at anaverage rate of R vehicles per second. Although the arrival of automobilesis irregular, traffic engineers have found that the average waiting time Tuntil there is a gap in traffic of at least t seconds is approximately T = t eRtseconds. A pedestrian walking at a speed of 3.5 ft/s (5.1 miles per hour) requires t = w /3.5 s to cross the road . Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = (w/3.5)ewR / 3. 5 s.(a) What is the pedestrian's average waiting time if w = 25 ft and R = 0.2 vehicle per second?(b) Use the Linear Approximation to estimate the increase in waiting timeif w is increased to 27 ft.( c) Estimate the waiting time if the width is increased to 27 ft and R decreases to 0.18.( d) What is the rate of increase in waiting time per 1-ft increase in widthwhen w = 30 ft and R = 0.3 vehicle per second?
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III. 16. The floor area of a Boeing 707-230 is 106 m2. Express this area in ft2. 17. Convert a speed of 45 mph to fps. 18. The Silver Sabre has a maximum rate of climb of 4800 ft/min. Determine the rate of climb in ft/s ... sneed 21
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