A body is accelerated continuously. What is the form of the graph?

a cubic

b inverse

c linear

d quadratic

There isn't one simple answer, but there are several different simple answers.

That's because there are different kinds of acceleration and different kinds of

graphs, and you've left us in the dark on both of those scores.

- - If the constant acceleration involves increasing speed, and the graph

is a speed/time graph, then the graph is a straight line sloping up.

- - If the constant acceleration involves increasing speed, and the graph

is a distance/time graph, then the graph is half of a parabola, opening

upward.

- - If the constant acceleration involves decreasing speed, and the graph

is a speed/time graph, then the graph is a straight line sloping down.

- - If the constant acceleration involves decreasing speed, and the graph

is a distance/time graph, then the graph is half of a parabola, opening

downward.

- - If the constant acceleration involves changing direction only, and the

graph is a speed/time graph, then the graph is a straight horizontal line.

- - If the constant acceleration involves changing direction only, and the

graph is a distance/time graph, then the graph is half of a parabola,

opening upward.

- - If the constant acceleration involves changing direction only, and the

graph is a displacement/time graph, then the graph is a 'rectified' sine

function of time.

The answer is D) quadratic