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 x 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 ν versus t and indicate on it the answer to ©.