JUPEBPhysicsKinematics and Dynamics

The velocity of a body increases uniformly from $4$ m s$^{-1}$ to $10$ m s$^{-1}$ in $3$ s. Find the displacement during this interval.

A$21$ mCORRECT
B$42$ m
C$30$ m
D$18$ m
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
Displacement is the area under the velocity-time graph, a trapezium: $\dfrac{4 + 10}{2} \times 3 = 21$ m. Using the final velocity alone gives 30 m; using only the change in velocity gives 18 m.
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