A particle moves along a line so that its position at time t seconds is given by p(t)=tan(0.4t−1) meters.
a. Compute p′(t).
b. Find the slope of the tangent to the position curve at t=3.
c. Determine the equation of the line tangent to the graph of y=p(t) at the point corresponding to t=3. Express your answer in point–slope form.