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Car A is traveling on a highway at a constant speed
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Vector Mechanics For Engineers
- Traveling from city A to city B, a train accelerates from rest at 0.012 m/s2 for 23.0 min, then maintains its speed for the next 51.0 min. It then begins decelerating at 0.069 m/s2, until stopping in city B. How far (in kilometers) is city A from city B?arrow_forwardA particle travels around a circular path having a radius of 50 m. If it is initially traveling with a speed of 10 m/s and its speed then increases at a rate of v= (0.05 v) m/s^2, determine the magnitude of the particle’s acceleration four seconds later.arrow_forwardDuring a parasailing ride, the boat is traveling at a constant 30 km/hr with a 200-m long tow line. At the instant shown, the angle between the line and the water is 30° and is increasing at a constant rate of 2°/s. Determine the velocity and acceleration of the parasailer at this instant.arrow_forward
- As relay runner A enters the 65-ft-long exchange zone with a speed of 30 ft/s, he begins to slow down. He hands the baton to runner B 2.5 s later as they leave the exchange zone with the same velocity. Determine (a) the uniform acceleration of each of the runners, (b) when runner B should begin to run.arrow_forwardOn a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car tov2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure. Part (a) Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt. Part (b) Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.arrow_forwardIn both cases a spaceship is pulling two cargo pods, one empty and one full. At the instant shown, the speed of the pods and spaceships is 300 m/s, but they have different accelerations as shown. All masses are given in terms of M, the mass of an empty pod. a) b)arrow_forward
- A race car enters the circular portion of a track that has a radius of 70 m. When the car enters the curve at point P, it is travelling with a speed of 120 km/h that is increasing at 5 m/s². Three seconds later, determine the x and y components of velocity and acceleration of the car.arrow_forwardCar A is traveling at a constant speed of vA = 130 kph at a location where the speed limit is 100 kph. The police officer in car P observes this speed via radar. As Car A passes P, the car uniformly decelerates to the speed limit for 5 seconds and maintained the motion. Meanwhile, the police car begins to accelerate at the constant rate of 6 m/s2 until a velocity of 160 kph is achieved, and that speed is maintained. Determine the deceleration of car A to reach the speed limit,What is the distance traveled by the police to overtake car A, How long did it take for the police officer to overtake car A?arrow_forwardThe car is traveling at a speed of 56 mi/hr as it approaches point A. Beginning at A, the car decelerates at a constant 7.5 ft/sec2 until it gets to point B, after which its constant rate of decrease of speed is 2.1 ft/sec2 as it rounds the interchange ramp. Determine the magnitude of the total car acceleration (a) just before it gets to B, (b) just after it passes B, and (c) at point C.arrow_forward
- A particle moves in a straight line between two points A and B in a total time of 40 seconds, as follows:- It starts from rest at point A- It accelerates with an acceleration of a = 4 for 6 seconds- It then accelerates at a rate of 6, until it reaches a velocity of 48- It keeps moving with that constant velocity, until it decelerates to a stop at B in 6 secondsa) Determine the “corner-points” and draw the motion profiles for acceleration, velocity and distances travelled, to scale, including all values for all your selected axes (times and motion profiles)b) Calculate the total distance travelled between points A and B.arrow_forwardA motorist is about to enter the exit ramp of a highway. When it is 50m before reaching A (along the straight path), the motorist travels at 80km/h, decreasing at the rate of 0.5m/s2until it reaches B. After it reaches B, it travels at a constant speed. Determine the magnitude of the acceleration: just before B at B just after Barrow_forwardThe curvilinear motion of a particle is defined by vx = 50− 16t and y = 100 − 4t2, where vx is in meters per second, y is in meters, and t is in seconds. It is also known that x = 0 when t = 0. Plot thepath of the particle and determine its velocity and acceleration when the position y = 0 is reached.arrow_forward
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