what shape does a position vs. time graph have for an object in uniform acceleration?


a. quadratic
b. cubic
c. inverse
d. linear

Verified Answer :

Here, If acceleration is uniform, change is velocity will be uniform, and position-time graph represents for velocity, so it would be Linear

In short, Your Answer would be Option D

Hope this helps!

Answer:

The correct option is a. quadratic

Explanation:

For an object with uniform acceleration, the equation that modelates the position in function of the time variable is the following :

\(X(t)=X_{0}+(V_{0}).t+(\frac{1}{2}).a.t^{2}\)

The function has clearly a quadratic graph because its equation is simmilar to this generic quadratic function :

\(f(x)=a+bx+cx^{2}\)

Whose graph is a quadratic graph.

I added a graph of a classic quadratic function.

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