96 m
2 m/sec²
Step-by-step explanation:
Step 1:
In a velocity and time graph , the area which is under the plotted line represents the distance traveled
In the given graph , the plotted line from t=0 to t=4 ( for the first 4 secs) is a triangle with base = 4 and height = 8
Area of this triangle is (1/2) * b * h = (1/2)* 4*8 = 16 m
Step 2 :
The plotted line from t = 4 to t = 14 is a rectangle with length equal to 10 and breadth equal to 8
Hence its area = length * breadth = 10 * 8 = 80 m
Step 3 :
Total distance traveled is 80 + 16 = 96 m
Step 4 :
In the velocity time graph , slope denotes the acceleration at any given time. Since we want the acceleration for the first 4 secs, we need to find slope of line in from t = 0 to t= 4
when t = 0, v =0 and t= 4, v = 8
Slope = 8-0/4-0 =2 m/sec²
