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Car A is traveling on a highway at a constant speed
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Vector Mechanics For Engineers
- km hr Q3/ Vehicle A is moving at a constant velocity VA 120- at a location where the speed limit is 100 km/h. The police officer in vehicle P observes this speed via radar. At the moment when A passes P. the police car begins to accelerate at the constant rate of 5 until a speed of 140 km/hr is achieved, and that speed is then maintained. Determine the distance required for the police officer to overtake car A. TU- ENGINEERING COLLEGE- ALSHIRQAIarrow_forward-Car A moving at a constant velocity of 25 m/sec passes a gasoline station. At the same instant, car B leaves the same gasoline station and travels the same direction as that of car A. Determine the required acceleration of car B in order to overtake car A after 35 seconds. -Two cars A and B are travelling in the same direction with a velocity of 30 m/sec. Car A is 250 meters behind car B. After 17 seconds, car B decelerates at a constant rate. Determine the deceleration of car B so that car A can overtake after 17 seconds.arrow_forwardThe motorcycle initially at rest accelerates from point A, towards the east according to the relation a = 4t + t, where t is the elapsed time in seconds and a is the acceleration in m/s?. The second motorcycle initially at rest accelerates from point B in an eastward direction according to the relationship a = 3 t3 + t. Point B is 450 meters east of point A and the two motorcycles start traveling at the same time. Assuming a straight-line motion, determine the distance that motorcycle A travels as it passes motorcycle B. A 450 m - Xxarrow_forward
- Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A is traveling at va = 128 km/h as it passes P, but over the next 4.3 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.5 m/s? until a speed of 157 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A. VA Answer: s = iarrow_forwardCar A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A is traveling at va = 128 km/h as it passes P, but over the next 4.1 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.2 m/s² until a speed of 157 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A. UA P Answer: s = i marrow_forwardCar A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A is traveling at VA = 126 km/h as it passes P, but over the next 4.2 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.1 m/s² until a speed of 155 km/h is achieved, and that speed is then maintained. Determine the distances required for the police officer to overtake car A. A Answer: s= i DA P marrow_forward
- When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g - kv², while the acceleration when the ball is moving downward is ad = -g + kv², where k is a positive constant and v is the speed in feet per second. If the ball is thrown upward at 94 ft/sec from essentially ground level, compute its maximum height h and its speed vf (a positive number) upon impact with the ground. Take k to be 0.0017 ft¹ and assume that g is constant. au=-g-ku² y 1 194 ft/sec Answers: h = Vf= i i ad=-g+kv2 h ft ft/secarrow_forwardCars A and B approached each other on a straight road from points 460 m apart. A has an initial speed of 70 kph and is decelerating at the rate of 0.40 m/s2. B has an initial speed of 20 kph and is accelerating at the rate of 0.30 m/s2. When will the cars meet and how far will each have traveled? Draw the figure.arrow_forwardCar A is traveling at a location where the speed limit is 100 km/h. The police officer in car Pobserves this speed via radar. The driver of car A is traveling at va = 123 km/h as it passes P, but over the next 4.5 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.2 m/s2 until a speed of 160 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A. VA Answer: s = i marrow_forward
- Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car Pobserves this speed via radar. The driver of car A is traveling at VA = 138 km/h as it passes P, but over the next 4.3 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 5.0 m/s² until a speed of 167 km/h is achieved, and that speed is then maintained. Determine the distances required for the police officer to overtake car A. Answer: s= i marrow_forwardCar A is traveling at a location where the speed limit is 100 km/h. The police officer in car Pobserves this speed via radar. The driver of car A is traveling at VA = 133 km/h as it passes P, but over the next 5.3 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.2 m/s² until a speed of 163 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A. Answer: s= i VA P ! marrow_forwardCar A is traveling at a location where the speed limit is 100 km/h. The police officer in car Pobserves this speed via radar. The driver of car A is traveling at vA = 126 km/h as it passes P, but over the next 4.2 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 5.7 m/s? until a speed of 165 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A. Answer:s= iarrow_forward
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