How do you find the displacement of the object? Suppose an object moves along a

Question

How do you find the displacement of the object?

Suppose an object moves along a line at 16 m/s for 0 lessthanorequalto t lessthanorequalto 3 s and at 27 m/s for 3 lessthanorequalto t lessthanorequalto 5 s. Sketch the graph of the velocity function and find the displacement of the object for 0 lessthanorequalto t lessthanorequalto 5. Sketch the graph of the velocity function. Choose the correct graph below. The displacement of the object for 0 lessthanorequalto t lessthanorequalto 5 is m. (Simplify your answer.)

Explanation / Answer

Displacement is area under the curve
So, area can be given by
from [0,3] the area is 16*3
from (3,5] the area is 27*2
so total area is given by:
16*3+27*2=48+54=102
hence our displacement is 102m

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