Finding Velocity at a Given Time on an Acceleration v Time Graph

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ch2kb0x
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Homework Statement



The problem is, to find velocity at a given time (t=5 sec) on a acceleration v time graph.

Homework Equations


The Attempt at a Solution


I think the area under the curve represents the average velocity, but I really do not know how to find the velocity at THAT given time.

*Note: I included a picture on the bottom, I tried to find the area under the curve but did not come up with the correct answer. It is the graph labled Particle C
 
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  • Three graphs side by side: x (m) against t (s) for Particle A, v_x (m/s) against t (s) for Particle B, and a_x (m/s²) against t (s) for Particle C, each with values between -30 and 30 on the vertical axis.
    02.P26.jpg
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Last edited:
You either

1. Integrate acceleration up to t=5 if acceleration is given as a function of t OR

2. Find the area under the curve within t=0 and t=5 inclusive