You have been given the mathematical model to calculate velocity of a car accelerating from rest in straight line: v(t) = A (1-e ^ - t/tmaxspeed) (anything after the symbol ^ is to the power of) v(t is instantaneous velocity of car (m/s), t is time in seconds, tmaxspeed is time to reach maximum speed in seconds and A is constant. you are given the information that t (0-28 m/s) is 2.6s, t (400m) is 10.46s & tmaxspeed is 7s. please explain and derive an equation x(t) for the instantaneous position of the car as a function of timeidentify the value of x when t=0s ? and asymptote of this function as t → ∞?

*I DONT THINK ANSWER CAN BE A NEGATIVE WHEN IDENTIFYING VALUE OF X when t=0s as its the position of the car as function of time