Question

So I have a math problem that says that a free-falling body near the surface of the earth accelerates downward at a constant of 32 ft/sec^2. so for the graph a(t) it would just be a straight line across 32 no matter what time, or in other words a(t)=32. since v'(t)=a(t) wouldnt v(t)=32t? is this right?

Answer 1

Yes, v(t) could be 32t. However, isn't it possible that there could be a consonant added onto that? The derivative of a consonant is 0, so it wouldn't be in your a(t). Just math for thought.