| 7 of 16 (0 complete) Suppose that the graph to the right shows the graph of y-

Question

| 7 of 16 (0 complete) Suppose that the graph to the right shows the graph of y- s(t), the distance traveled by a car after t hours. Is the car going slower atte4 ort 8 10 At what time tis the car going slower? Choose the correct answer below 0 A. The car is going slower at t= 8 because the slope of sm is smaller att: 8. B. The car is going slower at ts4 because the slope of s(t) is smaller atts4 ° C. The car is going slower att: 8 because the y-value of sa) is smaller at t=8 D. The car is going slower at t-4 because the y-value of sa) is smaller atts 4. Click to select your answer evascript doExercise(2),

Explanation / Answer

solution:- A) The car is going slower at t=8 because the slope of s(t) is smaller at t=8

using the slope defination , we have m = dy/dx = s'(t) = {s(b) -s(a)}/(b-a)

for first 4 seconds , m1 = s(4) -s(0) / (4-0) = 2-0/4 =.5

also for first 8 second ,m 2= s(8)- s(0) /(8-0) = 3/8

further The slope of the distance-time graph refers to the speed of an object. If the graph is steep, then, it has a high slope. This means that that the object is moving at highspeed. Also, if the graph is a horizontal line, its slope is zero.

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