A car is at position O with a speed of 50 ft/s when it begins to...

 

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A car is at position "O" with a speed of 50 ft/s when it begins to brake. The speed decreases at a constant rate of 1 ft/s. The car continues to brake at this rate as it travels from O to B. Assume that the section O-A is a straight path and A-B is a 14-circular path. (a) What is the speed of the car when it enters the curve at A? (b) What are the normal and tangential components of acceleration of the car just after it enters the curve at A? (c) What are the magnitude and direction of the car's acceleration just after it enters the curve at A? (d) Calculate the total distance the car travels from O to B. (circumference of a circle=2xr). (e) What is the speed of the car at B? (f) What are the normal and tangential components of acceleration of the car just before it exits the curve at B? (g) What are the magnitude and direction of the car's acceleration just before it exits the curve at B? (h) How long in seconds does it take for the car to travel from O to B? Kinematic equations: B 240 ft A -300 ft- 0 For constant ac v = v + at 1 s = so + vot += act vv = 2a, (s-so) Curvilinear motion: dv dt 3 P lal = a + a 2 A car is at position "O" with a speed of 50 ft/s when it begins to brake. The speed decreases at a constant rate of 1 ft/s. The car continues to brake at this rate as it travels from O to B. Assume that the section O-A is a straight path and A-B is a 14-circular path. (a) What is the speed of the car when it enters the curve at A? (b) What are the normal and tangential components of acceleration of the car just after it enters the curve at A? (c) What are the magnitude and direction of the car's acceleration just after it enters the curve at A? (d) Calculate the total distance the car travels from O to B. (circumference of a circle=2xr). (e) What is the speed of the car at B? (f) What are the normal and tangential components of acceleration of the car just before it exits the curve at B? (g) What are the magnitude and direction of the car's acceleration just before it exits the curve at B? (h) How long in seconds does it take for the car to travel from O to B? Kinematic equations: B 240 ft A -300 ft- 0 For constant ac v = v + at 1 s = so + vot += act vv = 2a, (s-so) Curvilinear motion: dv dt 3 P lal = a + a 2

Answer rating: 100% (QA)

a The speed of the car when it enters the curve at A can be calculated using the equation v vo 2as where v is the final speed vo is the initial speed ... View the full answer