please solve the question in picture
Answers
Seee, I'll give you the answer in brief. :}
Answer:
c. 12. 5 m/ s
Explanation:
It's an a-t graph with "a" being plot on the y-axis and "t" on the x- axis.
"The area under the curve" or the area covered by the graph
gives the product of the values plotted against y-axix and the values plotted against x- axis.
Here, the area under the curve will give "a × t" which is equal to v ( velocity).
Calculating the Area of the graph:-
= area of trapezoid - area of triangle
[(why minus?)
'cause the triangle is formed in the negative y axis]
Area of trapezoid = 1/ 2 × ( sum of parallel sides) × height
= 1/ 2 × (3. 5 + 2) × 5
= 27. 5/ 2
Area of triangle = 1/ 2 × base × height
= 1/ 2 × 0. 5× 5
= 2.5/ 2
Area of the graph = 27. 5/ 2 - 2. 5/ 2
= 25/ 2
= 12. 5 m/ s
(the heights and base measures have been done according to the graph with help of values along the y and x axis)
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Hppe this helps!