Problem Set 1Due: 2/17/11, ThursdayChapter 1: MeasurementChapter 2: Motion along a Straight LineQuestion AQuestion BQuestion CQuestion DProblem Set 1Due: 2/17/11, ThursdayChapter 1: Measurement Exercises & Problems: 7, 9, 25Chapter 2: Motion along a Straight LineExercises & Problems: 7, 30, 33, 37, 44, 53, 64, 69, 75*Problem Set Quiz #1 on Thursday, February 17th*Question AIn each case below, explain each example using both words and motion graphs (x-t, vx-t & ax-t). Furthermore, give an example if your answer is yes; explain why if your answer is no.a. Can objects have zero velocity and still be accelerating?b. Can objects be increasing in speed as its acceleration decreases?c. Can the velocity of an object reverse direction when its acceleration is constant?Question BA driver in California was sent to traffic court for speeding. The evidence against the driver was that a policewoman observed the driver’s car alongside a second car at a certain moment, and that the policewoman had already clocked the second car as going faster than the speed limit. The driver argued that “the second car was passing me. I was not speeding.” The judge ruled against the driver because, in the judge’s words, “if two cars were side by side, you were both speeding.” If you were lawyer representing the accused driver, how would you argue this case?Question CA student at the top of a building of height h throws one ball upward with an initial speed vo and then throws a second ball downward with the same initial speed. How do the finalvelocities of the balls compare when they reach the ground? Include a diagram to explain your answer. Question DA ball is dropped from rest from the top of a building of height h. At the same instant, a second ball is projected vertically upward from ground level, such that it has zero speed when it reaches the top of the building. When the two balls pass each other, which ball has the greater speed, or do they have the same speed? Explain. Where will the two balls be when they are alongside each other: at height h/2 above the ground, below this height, or above this height? Explain.1Problem 1.7Hydraulic engineers in the United States often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. A severe thunderstorm dumped 2.0 in. of rain in 30 min on a town of area 26 km2. What volume of water, in acre-feet, fell on the town? Problem 1.9Antarctica is roughly semicircular, with a radius of 2000km. The average thickness of its ice cover is 3000 m.How many cubic centimeters of ice does Antarcticacontain? (Ignore the curvature of Earth.) Problem 1.25During heavy rain, a section of a mountainside measuring 2.5 km horizontally, 0.80 km up along the slope, and 2.0 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 0.40 km × 0.40 km and that mud has a density of 1900 kg/m3. What is the mass of the mud sitting above a 4.0 m2 area of the valley floor?Problem 2.7Two trains, each having a speed of 30 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of one train when they are 60 km apart and heads directly for the other train. On reaching the other train, the bird flies directly back to the first train, and so forth. (We have no idea why a bird would behave inthis way.) What is the total distance the bird travels before the trains collide?Problem 2.30The brakes on your car can slow you at a rate of 5.2 m/s2. (a) If you are going 137 km/h and suddenly see a state trooper, what is the minimum time in which you can get your car under the 90 km/h speed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun.) (b) Graph x versus t and v versus t for such a slowing.Problem 2.33A car moves along an x axis through a distance of 900 m, starting at rest (at x  0) and ending at rest (at x 900m). Through the first ¼ of that distance, its acceleration is +2.25 m/s2. Through the next ¾ of that distance, its acceleration is −0.750 m/s2. What are (a) its travel time through the 900 m and (b) its maximum speed? (c) Graph position x, velocity v, and acceleration a versus time t for the trip.2Problem 2.37The figure depicts the motion of a particle moving along an x axis with aconstant acceleration. The figure’s vertical scaling is set by xS  6.0m. Whatare the (a) magnitude and (b) direction of the particle’s acceleration?Problem 2.44When startled, an armadillo will leap upward. Suppose it rises 0.544 m in the first 0.200 s. (a) What is its initial speed as it leaves the ground? (b) What is its speed at the height of 0.544 m? (c) How much higher does it go?Problem 2.53A key falls from a bridge that is 45 m above the water. It falls directly into a model boat, moving with constant velocity, that is, 12 m from the point of impact when the key is released. What is the speed of the boat? Problem 2.64A ball is shot vertically upward from the surface of another planet. A plot of yversus t for the ball is shown, where y is the height of the ball above itsstarting point and t = 0 at the instant the ball is shot. The figure’s verticalscaling is set by yS = 30.0m. What are the magnitudes of (a) the free-fallacceleration on the planet and (b) the initial velocity of the ball?Problem 2.69How far does the runner whose velocity–time graph is shown in Fig. 2-36travel in 16 s? The figure’s vertical scaling is set by vS = 8.0 m/s. Problem 2.75To stop a car, first you require a certain reaction time to begin braking; then the car slowsat a constant rate. Suppose that the total distance moved by your car during these two phases is 56.7 m when its initial speed is 80.5 km/h, and 24.4 m when its initial speed is 48.3 km/h. What are (a) your reaction time and (b) the magnitude of the