A proton moves along the x axis according to the equation x = 50t + 10t2, where x is in meters and t is in seconds. Calculate

(a) The average velocity of the proton during the first 3.0 s of its motion,

(b) The instantaneous velocity of the proton at t = 3.0 s, and

(c) The instantaneous acceleration of the proton at t = 3.0 s.

(d) Graph -r versus t and indicate how the answer to (a) can be obtained from the plot.

(e) Indicate the answer to (b) on the graph.

(f) Plot y versus t and indicate on it the answer to (c).