8. A car drives to the north, but it slows down. Which direction does its acceleration point? Explain.
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- 5. You notice a falcon diving straight down alongside the Boston Store building in downtown Erie. You see it pass five stories in 1.5 seconds; and, at the end, it has a downwards velocity of 15 m/s. (Its acceleration is constant, but it is NOT g). Each floor is 3 meters high. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the a. picture by indicating the location of the origin and position direction. b. What is the acceleration of the bird? C. What was the initial velocity of the bird as the start of passing the 5 stories?6. Is it possible for an object to have zero acceleration but still have a velocity? If so, give an example. If not, explain why notIn an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp. They roll up the ramp, reverse direction at the highest point, then roll backward back down the ramp. In each of the following segments of the motion, which way does the acceleration vector point?a. As the cars roll up the ramp.b. At the highest point on the ramp.c. As the cars roll back down the ramp.
- 5. Two cars are traveling along a straight road. Car (A) maintains a constant speed of 89.0 km/h; car (B) maintains a constant speed of 105 km/h. At t = 0, car (B) is 36.0 km behind car (A). How long does it take before car (A) is overtaken by car (B)? hours 60 s st60 60 ssfo3. Pilots of high-performance aircraft risk loss of consciousness if the undergo accelerations exceeding about 5g. For a military jet flying at 2470 km/hr (about twice the speed of sound), what is the minimum time it takes the jet to reverse its direction in a circular turn while keeping the acceleration below the 5g safety threshold?10. A car drives to the north at constant speed. Which direction does its acceleration point? Explain.
- 1. While driving on a back country road, a park ranger suddenly sees a deer frozen in her headlights. The ranger, who is driving at 12.0 ?/?, immediately applies the brakes and slows with an acceleration of 4.0 ?/?2.a. If the deer is 20.0 ? from the ranger’s vehicle when the brakes are applied, how close does the ranger come to hitting the deer?b. How much time did it take for the ranger to stop?28. A runner moving at a velocity of 6 m/s increases the velocity in a 2 s time interval to a rate of 10 m/s. What is the rate of acceleration? a. 4 m/s^2 b. -4 m/s^2 c. -2m/s^2 d. 2 m/s^2 Explanation and solution2.) A buggy car starts at 10 m and travels in the +x direction with a constant velocity of 1.5 m/s for 4 s. The car immediately stops for 3 s and turns around and travels in the opposite direction with a constant velocity of 2 m/s for 10 s. a. Draw a position -vs- time graph and velocity -vs- time graph.
- 7. The position at time t seconds of a pebble dropped from an initial height of 600 feet is given by s(t)--16r + 600. At what time will the pebble hit the ground? b. What is the pebble's velocity when it hits the ground? What is the pebble's speed when it hits the ground? a. C.ř=(−b₁t³+b₂t)i+c₁t²_c₂t+c₂) j Assume that b₁,b2, C₁, C2, and C3 are positive constants. Which of the following statements must be true? a. The acceleration vector is constant. b. As time passes, the object's acceleration vector is directed in the 2nd quadrant. C. The object is initially at the origin. d. The object's initial velocity is directed in the 4th quadrant. e. V changes sign at the time t=b₂/b₁. X 21. The cheetah can reach a top speed of 114 km/h. while chasing its prey in a short sprint, a cheetah starts from rests and runs 45 min in a straight line, reaching a final speed of 72 km/h. a. Determine the cheetah's average acceleration during the short sprint, and b. Find its displacement at t= 3.5 s O 4.4m/s2, 27m O 5.6m/s2, 56m O 1.2m/s2, 15m