003 (part 1 of 2) 10.0 points A person travels by car from one city to an- other

Question

003 (part 1 of 2) 10.0 points A person travels by car from one city to an- other. She drives for 25.7 min at 66.9 km/h, 11.1 min at 97.5 km/h, 37 min at 41.2 km/h, and spends 12.6 min along the way eating lunch and buying gas. Determine the distance between the cities along this route. Answer in units of km. 004 (part 2 of 2) 10.0 points Determine the average speed for the trip. Answer in units of km/h. 005 (part 1 of 2) 10.0 points A car accelerates uniformly from rest to a speed of 51.9 mi/h in 9.37 s Find the constant acceleration of the car. Answer in units of m/s2. 006 (part 2 of 2) 10.0 points Find the distance that the car 'travels during this time. Answer in units of m 007 (part 1 of 2) 10.0 points A truck covers 44.6 m in 6.8 s while smoothly slowing down to a final speed of 2.5 m/s Find its original speed. Answer in units of m/s. 008 (part 2 of 2) 10.0 points Find its acceleration. Answer in units of m/s

Explanation / Answer

003: d = (66.9 x 25.7 / 60) + (97.5 x 11.1/60) + (41.2 x 37/60)

d = 72.1 km .......Ans

004: v = d/t = 72.1 x 60/ (25.7 + 11.1 + 37 + 12.6)

v = 50.07 km/h

005: vf = 51.9 x 1609 m / 3600s = 23.3 m/s

vi = 0

vf = vi + a t

a = 2.47 m/s^2

006: d = vi t + a t^2 /2

d = 108.7 m

007: 44.6 = 6.8 v0 + a(6.8^2)/2

6.8 v0 + 23.12 a = 44.6

and 2.5 = v0 + a t = v0 + 6.8 a

v0 + 6.8 a = 2.5

solving

v0 = 361/34 and a = -245/289

v0 = 10.6 m/s

008: a = - 0.85 m/s^2

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