Need help with all parts of the problem. Especially part d and e. Please explain

Question

Need help with all parts of the problem. Especially part d and e. Please explain A 2017 Chevrolet Corvette Grand Sport has a curb weight of 3,452 lb. It has a naturally aspirated, 16 valve pushrod V-8 engine which develops a peak of 450 hpa 6000 rpm and 465 lb-ft 4600 rpm. It uses Michelin Pilot Sport Cup 2 tires of size 285/30ZR-19 in the front and 335/25ZR-20 in the rear It can do 0-60 mph in 3.7 seconds and 0-1/4 mile in 12.1seconds 117.0 mph. It's top speed is 170. mph. It can pull 1.18g's on a 300. ft diamctcr skidpad. a) How fast was the Corvette able to go around the skidpad? (Give your answer in mph. b) What is the latcral cocfficicnt of friction botwcon the Michclin tircs and thc concrctc? c) Is the coefficient of friction found in Part b the static coefficient of friction or the kinetic coefficient of friction? d) As the car was going around the skidpad, what was its average velocity between points A and B as shown in Fig. 2 below? e) What was its average acceleration between points A and B? 300 ft

Explanation / Answer

(A) r = 150 ft

a_max =1.18g

a_c = v^2 / r

1.18g = Vmax^2 / 150 ft

(1.18) (32.174 ft/s^2) = Vmax^2 / 150

Vmax = 75.5 ft/s

= 75.5 (0.000189 mile) / (1/3600 hr)

= 51.3 mph

(b) a_c = us g

us = 1.18

(C) this is static friction.

(d) A= (0 , r)

B = (-r , 0)

displacement = B - A = -ri - rj

= - 150i - 150j ft

t = (pi r / 2) / v = (pi x 150) / (2 x 75.5)

t = 3.12 sec

<v> = displacement / time

= - 48i - 48j ft/s

magnitude = sqrt(48^2 + 48^2) = 68 ft/s

in mph = 46.25 mph

(e) <a> = change in velocity / time

= - 75.5i - 75.5j / 3.12

= -24.2i - 23.2j ft/s^2

magnitude = 34.2 ft/s^2

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