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Problem 1a: For the four graphs of x versus t in the figure below, answer the fo

ID: 2002392 • Letter: P

Question

Problem 1a:
For the four graphs of x versus t in the figure below, answer the following question:
Is the velocity at time t2 greater than, less than, or equal to the velocity at time t1?

graph b: greater than, less than, or equal to
graph c: greater than, less than, or equal to
graph a: greater than, less than, or equal to
graph d: greater than, less than, or equal to

Problem 2b:
And for the same four graphs, answer the following question:
Is the speed at time t2 greater than, less than, or equal to the speed at time t1?

graph c: greater than, less than, or equal to
graph a: greater than, less than, or equal to
graph b: greater than, less than, or equal to
graph d: greater than, less than, or equal to

I really want to learn how to do these two problems, so please, show all of your work. This means show step by step how you arrived at your answer(s). Include any equations or formulas used to arrive at the answer(s). Thanks!

(C 1 12 (d)

Explanation / Answer

velocity is the slope of position time graph. More slope means more velocity

1(a)

graph b: slope at t2 is equal to slope at t1, so velocity at t2 is equal to velocity at t1.
graph c: Velocity at t2 is positive and velocity at t1 is negative. so velocity at t2 is greater than velocity at t1.
graph a: slope at t2 is greater than slope at t1, so velocity at t2 is greater than velocity at t1.
graph d: Velocity at t2 is negative and velocity at t1 is positive. so velocity at t2 is less than velocity at t1.

2(b)

graph c: slope at t2 is less than the slope at t1. so speed at t2 is less than the speed at t1.
graph a: slope at t2 is less than the slope at t1. so speed at t2 is less than the speed at t1.
graph b: slope at t2 is lequal to the slope at t1. so speed at t2 is equal to the speed at t1.
graph d: slope at t2 is more than the slope at t1. so speed at t2 is greater than the speed at t1.