HONS 115 Study Guide - Final Guide: Linear Particle Accelerator
Document Summary
Key ideas from section 3. 7: rates of change (part i: we now return to a topic we have already discussed brie y: what the derivative means in applications. The derivative is not just the slope of the tangent line! Rst derivative v(t) = s (t) gives the (instantaneous) velocity of the object at time t: note that the instantaneous velocity is a number which can be either positive or negative, and its sign indicates the direction of motion. In particular, if we imagine the motion being along a straight line, positive velocity indicates motion towards + while negative velocity of the same magnitude would represent travel at the same speed but opposite direction. Question 1: suppose a ball is tossed straight up so that its height at time t seconds after the toss is f (t) = 16t2 + 64t + 2 feet.
