Question

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

Answer 1

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.

Answer 2

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!