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Hello, this is my first post on PhysicsForums. I'm a first year student at the University of Kansas pursuing a Bachelor of Science in Physics and Astronomy (double majoring). The wording on my homework (for Honors General Physics 1) is a little bit strange to me so maybe some of you guys and girls can help me iron it out. Thanks in advance!

Draw a graph of velocity versus time of an object starting with a velocity v

v

v

Since this is more of a conceptual approach to understanding this idea, I have very little work done for this specific problem. I have finished the other two problems in the question set though (total of 3 problems).

1. Homework Statement

1. Homework Statement

Draw a graph of velocity versus time of an object starting with a velocity v

_{0}and increasing speed with a constant acceleration(this is easy and not a problem). We know that v-v_{0}=∫vdt (this is also quite obvious and easy to deduct), so the displacement is the area under the plot you just drew(simple integration). Show that for this case (constant acceleration): v_{ave}=1/2(v_{0}+v) - (although I know this is true, I don't exactly know how to "show" it?), and then, by equating this result with the definition of v_{ave}and eliminating t(this is ultimately what hangs me up. I have no idea how to eliminate t. I know that the definition of v_{ave}) = Δx/Δt but I am not sure how to rid the equation of time), v^{2}=v_{02}+2aΔx## Homework Equations

v

^{2}=v_{02}+2aΔxv

_{ave}) = Δx/Δt_{ave}=1/2(v_{0}+v)## The Attempt at a Solution

Since this is more of a conceptual approach to understanding this idea, I have very little work done for this specific problem. I have finished the other two problems in the question set though (total of 3 problems).

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