(a) Calculate the total distance traveled by computing the area under the orange

Question

(a) Calculate the total distance traveled by computing the area under the orange graph line.

(b) What distance does the car travel between the times t = 1 s and t = 4 s?

(c) Draw a graph of its acceleration versus time between t = 0 and t = 5 s.

(d) Write an equation for x as a function of time for each phase of the motion, represented by the segments 0a, ab, and bc. (Use the following variable as necessary: t.)

(i) 0a

(ii) ab

(iii) bc

(e) What is the average velocity of the car between t = 0 and t = 5 s?

Explanation / Answer

caluclating distances from the graph 0 - a 1/2 *(1) * 5 = 5/2 =2.5 a - b 3 * 1 =3 b - c 1/2 *(1) * 5 = 2.5 so a) total distace 8 m distance travelled between a and b b) 3m (caluclated above) c) the graph will be like two stright line parllel to x axis this will be graph for accleration vs time x-cord y-cord 0-1 2.5 1-4 0 4-5 -2.5 d) a) Between 0 and a v=u+at x/1=a a=x x=1/2*2.5*t^2 =1.25t^2 m b) Between a and b s=2.5+2.5*t m c) Between b and c s=ut+1/2*a*t^2 s=5.5+2.5t-1.25*t^2 d) totlal displacement/totaltime 8/5=1.6m/s

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