Summer Review Quiz

Dr. Hasling @Trinity

How to linearize this graph?

y vs 1/x

How to linearize this graph?

y vs x²

How to linearize this graph?

y² vs x

Distance

Area “under” the graph (between line and the axis)

Signs do not matter, amount you covered from point A to point B — so just add the areas

Displacement

Area “under” the graph (between line and the axis)

Signs matter, keep them in mind. Difference between point A and point B, no matter how many detours you take.

Acceleration

Slope of a v-t graph

How to graph a x-t graph given a v-t graph.

You don’t know position, per se, from a v-t graph — you can choose any point to start. If it is constant at a velocity, then just have a constant slope. If there is acceleration (change in velocity over time), then find the averages between to calculate position. This is because it moves from one velocity to another in increments that are infinitely small (so the average is what matters because you don’t want to discount the decimals).

Ms. Sandling drops a ball from a height of 3 m. How long does it take to hit the ground?

Δx = 1/2at² + v_it

3 m = 1/2(9.8 m/s²)t²

0.61 s² = t²

0.78 s = t

Key Takeaway: Acceleration would solely be based on gravity. Initial velocity is 0 m/s. You know the equations and are given them, use them to help deduce.