(11 %) Problem 3: A car moves along a horizontal road with constant velocity v()
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Question
(11 %) Problem 3: A car moves along a horizontal road with constant velocity v() = vori until it encounters a smooth inclined hill, which it climbs with constant velocity v1 = vb! + v1 J as indicated in the figure. The period of time during which the car changes its velocity is At JX Randomized Variables Ypx=31 m/s lx 37 m/s Vly1.5 m/s t = 1.7s ©theexpertta.com > 50% Part (a) Give a vector expression for the average acceleration of the car during the given time period in terms of the variables in the problem and unit vectors i andj Grade Summary Deductions Potential 0% 100 % ve Submissions Attempts remaining: 5 % per attempt) detailed view END BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1 % deduction per hint. Hints remaining: Feedback: 0% deduction per feedback 50% Part (b) What is the magnitude of the car's acceleration during the time period in question, in m/s2?Explanation / Answer
Given that
initial velocity vo=31 i
final velocity V=37i+1.5j
time t=1.7 m/s
now we find the acceleration
acceleration a=(37i+1.5j)-(31i)/1.7
=3.53i+0.9j
magnitude of acceleration =[3.53^2+0.9^2]^1/2=3.6 m/s^2
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