Concept explainers
While strolling downtown on a Saturday Afternoon, you stumble across an old car show. As you are walking along an alley toward a main street, you glimpse a particularly stylish Alpha Romeo pass by. Tall buildings on either side of the alley obscure your view, so you see the car only as it passes between the buildings. Thinking back to your physics class, you realize that you can calculate the car’s acceleration. You estimate the width of the alleyway between the two buildings to be 4 m. The car was in view for 0.5 s. You also heard the engine rev when the car started from a red light, so you know the Alpha Romeo started from rest 2 s before you first saw it. Find the magnitude of its acceleration.
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Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool (Fig. P3.54). (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.54arrow_forwardA snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50 m at 16.0 from the vertical in the uphill direction as shown in Figure P3.16. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface. Figure P3.16arrow_forwardTwo birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.arrow_forward
- After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.arrow_forwardA whale dives from the surface of the ocean at an angle of 30° below the horizontal and followed a linear path of 50 m long. How far below the water surface is the whale at this point? 50 m (50 m)/sin 30° (50 m) sin 30° (50 m) cos 30°arrow_forwardA hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km in a direction 60 degrees north of east, at which point she discovers a forest rangers' tower. Determine the magnitude and direction of the hiker's resultant displacement using the cosine and sine law.arrow_forward
- A motorcycle stunt person traveling 50 mi/hr jumps off a ramp at an angle of 25 degrees to the horizontal. Utilize trigonometric functions to determine the horizontal and vertical components of the initial velocity.arrow_forwardSuppose we are told that the acceleration a of a particle moving with uniform speed ν in a circle of radius r is proportional to some power of r, say rn, and some power of ν, say νm. Determine the values of n and m and write the simplest form of an equation for the acceleration.arrow_forwardLuis is visiting a public garden that has a large, circular path. When he has walked one-quarter of the distance around the path, the magnitude of his displacement is 180 m. What is the diameter of the path?arrow_forward
- Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1110 m due east and then turns due north and travels another 1470 m before reaching the campground. The second cyclist starts out by heading due north for 1890 m and then turns and heads directly toward the campground. (a) At the turning point, how far is the second cyclist from the campground? (b) In what direction (measured relative to due east within the range (-180˚, 180˚]) must the second cyclist head during the last part of the trip?arrow_forwardA rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit's position as functions of time t (seconds) are given by: x = -0.31t2 +7.2t+28 and y = 0,22t² - 9.1t+ 30. A) Att = 15 s, what is the rabbit's position vector in unit-vector notation and n magnitude-angle notation? B) Find the velocity vector at time t = 15 s. c) find the acceleration a at time t = 15s.arrow_forwardAnwser ALL You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (−134 m, 26 m). The x component and y component of your moves are the following, respectively, in meters: (20 and 60), then (bx and −70.0), then (−20.0 and cy), then (−61.0 and −68.0). (a) What is component bx? (b) What is component cy? (c) What is the the magnitude of the overall displacement? (d) What is the angle of the overall displacement? ? counterclockwise from the +x-axis 2. A displacement vector r in the xy plane is 34 m long and directed at angle ? = 44° as shown below. Determine the x and y components of the vector. x component = y component=arrow_forward
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