2. A Cessna airplane is taking off on a runway. You start recording the velocity as a function of time slightly after it has started. Below is a table of your results. Inlog A Salin t, time in seconds Product 3 X29 12 V(t) in miles per hour Sum 80 160 206.8 240 320 a. Determine the velocity of the plane after 48 seconds. gimos bne qu y=a +blnx 160 = a+bln6 80=a+bin3 80 e. Evaluate V(18). nowor 400 b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? Jogarithm c. Why can't you use the pattern to find (20)? because it is not a multiple of 3. d. Find a particular equation for V(t) and verify that all of the V(t) values in the given table satisfy the equation. f. How long will it take the plane to reach 700 mph? Give both, the exact (without calculator) and approximate (with calculator) answers.