A velocity vs. time graph is shown. A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 5, velocity in meters per second on the y axis, numbered 0 to 20. A line starts at the origin and ends at (5, 20). What is the acceleration of the object? 0 m/s2 0.25 m/s2 4 m/s2 8 m/s2

C

Explanation:

Given that a line starts at the origin ( 0, 0) and ends at (5, 20)

Where

V1 = 0

V2 = 20

T1 =0

T2 = 5

The slope or gradient of a velocity time graph is the acceleration.

Slope = change in V/ change in t

That is,

Slope = ( V2 - V1 )/ ( T2 - T1 )

Substitutes all the values into the formula

Slope = ( 20 - 0 )/( 5 - 0 )

Slope = 20/5

Slope = 4 m/s^2

Therefore, acceleration of the object is 4m/s^2

the correct choice is a .

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