please answer only question no. v) and vi)
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Answer:
(v) 400 m
(vi) 1200 m
Explanation:
We know that v = dx/dt
Therefore dx = vdt
Finding x under particular limits means, by integrating above expression implies finding the area under the curve or graph of v(speed by x) and t (time) in those limits.
v)To find distance travelled between BC you need to find the area under the curve from B to C,
The plot in between those limits is a right-angled triangle of height(h)= 40
and base(b)= 20
Therefore it's area is 20 x 40 ÷2 = 400 (since area= 1/2 b x h)
Therefore the body travels a distance of 400 m in between B and C.
vi) Similarly Area under A to C is combination Of area under A to B(rectangle) and B to C(we have found above)
Therefore area is 20*40+400=1200
i.e the body travels a distance of 1200 m
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