1. On which of these hills does the ball roll down with increasing speed and decreasing acceleration along the path? (Use this example if you wish to explain to someone the difference between speed and acceleration.) 1. On which of these hills does the ball roll downwith increasing speed and decreasingacceleration along the path? (Use this example ifyou wish to explain to someone the differencebetween speed and acceleration.)

Three different cases: TO DETERMINE: Which of these hills does the ball rolls down with increasing…

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2. A Tesla rounds a flat, unbanked curve with radius R. (a) If the coefficient of static friction between the tires and the road is derive an expression for the maximum speed at which the driver can take the curve without sliding. (b) What is the maximum speed if R = 275m and mu s =0.85 ? (c) An engineer (brilliant man that he is ) proposes to rebuild the curve , banking it so that, at a certain speed vno friction at all is needed for the car to make the curve. At what angle should it be banked if v = 22.5 m/s ?
10. Use the formulas a = v2/r and v = 2πr/T to derive the following formulas: (a) centripetal acceleration in terms of v and T (but not r). (b) centripetal acceleration in terms of r and T (but not v).
Help with 15. Thank you.
A car with a constant speed of 95 km/h enters a circular flat curve with a radius of 0.5 km. The friction between the road and the car's tire can supply a centripetal acceleration of 1.35 m/s². What is the acceleration the car need to remain in this curve regardless of its acceleration of 1.35 m/s²? a) 2.39 m/s² b) 1.74 m/s² c) 1.35 m/s² d) 1.39 m/s² V₁ = V + at лd²h V= C=d F = ma ac r x=x+(+v₁)t +mgh+Fyud F r
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