Question

for an object that is speeding up in the positive direction what does the displacement vs. time graph look like

Answer 1

For an object that is speeding up in the positive direction, its positive displacement is greater every second, and the AMOUNT greater every second is greater than the AMOUNT greater was in the previous second.

So the graph of displacement vs. time is rising as time goes on, and the rise is becoming steeper as time goes on.

The graph is curving upward as time goes on.