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- 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?A particular sports car can accelerate at a rate of 11.5 mph/s. What is this acceleration in km/hr2? Can you asssit me with this unit conversion?A car going initially 60 mi/hr hits the brakes and skids to a stop in 4 seconds. What isthe acceleration in mi/hr/sec? What is the total distance covered by the car during itsdeceleration?
- At some airports there are speed ramps to help passengers get from one place to another. A speed ramp is moving converyor belt on which you csan iether stand or walk. Suppose a speed ramp has a length of 117 m and is moving at a speed of 2.1 m/s relative to the ground. In addition, suppose you can cover this distance in 73 s when walking on the ground. If you walk at the same rate with respect to the speed ramp that you walk on the ground, how long does it take for you to travel the 117 m using the speed ramp?The equation of motion of a partice 5 23 । १খ० - 12 ) 1 in meters ond t is in seconds. find the velocuty nd acceleration as functions of t, Then find the positran, veloatr,and occeleration of the pashidle after & seconds. where sisAn object has an intial velocity of 11 m/s and a constant acceleration of 4.2 m/s squared. Hoe long will it take before it's final velocity is equal to 3 times its intial velocity?
- The rocket sled starts from rest and accelerates at a = 30 + 2t m/s? until its velocity is 400 m/s. It then hits a water brake and is acceleration is a = -0.003V2 until its velocity decreases to 100 m/s. (a) Determine the time the rocket sled reaches a velocity of 400 m/s in sec. (b) What total distance does the sled travel in meters? (c) What is the sled's total time of travel in sec.?In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance ho above the ground. Rock A is thrown vertically upward with speed vo and rock B is thrown vertically downward with speed vo. Rock A and rock B strike the ground at times ta and tB, respectively. Consider the positive vertical direction to be upward.Driving along a crowded freeway, you notice that it takes atime t to go from one mile marker to the next. When you increaseyour speed by 7.9 mi>h, the time to go one mile decreases by 13 s.What was your original speed?
- An astronaut chillin’ on the moon drops her bag of Takis (doh!). g on the moon is 1.6 m/s/s. The Takis fell for 1.23 seconds. (a) How far did they fall? (b) What was their final velocity?When a 10,000-rn runner competing on a 400-rn track crosses the finish line, what is the runner’s net displacement? Can this displacement be zero? Explain.A car approaching a turn in the road has its speed decreased from 50mi/hr to 30 mi/hr while traversing a distance of 120 ft. (a) What was its acceleration and (b) how long did it take to traverse this distance?