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For the following velocity v. time graph, answer the following questions:
a. What is the displacement of the object from A-C?
b. What is the acceleration from position E-F?
c. What is the velocity from F-G?

For The Following Velocity V Time Graph Answer The Following Questions A What Is The Displacement Of The Object From AC B What Is The Acceleration From Position class=

Sagot :

MathPhysidn

Answer:

a. 60 m

b. -10 m/s²

c. 20 m/s

Explanation:

On a velocity-time graph, the displacement is equal to the area under the curve, and the acceleration is equal to the slope of the curve.

a. From point A to point C, the area under the curve is a trapezoid. Alternatively, we can split this area into a triangle (A to B) and a rectangle (B to C). Using the second method, the displacement is:

x = ½ (2.0 s − 0 s) (20.0 m/s) + (4.0 s − 2.0 s) (20.0 m/s)

x = 60 m

b. From point E to F, the slope of the line is:

a = (20.0 m/s − 40.0 m/s) / (10.0 s − 8.0 s)

a = -10 m/s²

c. From F to G, the velocity is constant at 20 m/s.

View image MathPhys
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