What is the initial velocity of the particle v0?

What is the total distance delta X traveled by the particle?

What is the average acceleration of the particle over the first 2.0 seconds?

What is the instantaneous acceleration a of the particle at t=45.0 s?

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What Velocity vs. Time Graphs Can Tell You A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call u the velocity and a the acceleration, even though they are really the components of the Figure 1 U, (m/s) 2.0 1.5 1.0 0.5 0 of 1 10 20 30 40 50 1 (S) What Velocity vs. Time Graphs Can Tell You A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call u the velocity and a the acceleration, even though they are really the components of the Figure 1 U, (m/s) 2.0 1.5 1.0 0.5 0 of 1 10 20 30 40 50 1 (S)