1: The figure below represents part of the performance data of a car owned by a

Question

1: The figure below represents part of the performance data of a car owned by a proud physics student. (The horizontal axis is marked in increments of 10 s and the vertical axis is marked in increments of 10 m/s.)

1(a): Calculate the total distance traveled by computing the area under the red-brown graph line.

1(b): What distance does the car travel between the times t = 10 s and t = 40 s? 2. Automotive engineers refer to the time rate of change of acceleration as the "jerk." Assume an object moves in one dimension such that its jerk J is constant.

2(a): Determine expressions for its acceleration ax(t), velocity vx(t), and position x(t), given that its initial acceleration, velocity, and position are ai, vi, and xi, respectively. (Use any variable or symbol stated above as necessary.) ax(t) = vx(t) = x(t) =

Explanation / Answer

part 1a

total distance=area=1/2*50*15+25*50 +50*10*1/2=1875m

part1 b

d=1/2*50*15+25*50-1/2*35*10 =1450m

part 2

initially accelartion is positive for area origin to 'a' than it is zero for a to b than it is neagitive b to c

o-a

accelartion=50/15=3.333m/s2  

a-b , accelaration =0

b-c

accelartion=-50/10=-5m/s2

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