SOLUTION: A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2ft/sec squared. The final velocity of the car is give

Question 1029566: A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2ft/sec squared. The final velocity of the car is given by the function V(t)=21/5t + 70, where V(t) is the velocity at time t. Determine the velocity of the car after 10.4 seconds and interpret the meaning of the slope and y-intercept in this context.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Okay, we have an equation for the velocity at any time t...that is
v(t) = 4.2t + 70 (21/5 = 4.2)
so that for t = 10.4, we have
v(10.4) = 4.2(10.4) + 70 = 113.68 ft/sec
The slope IS the acceleration in ft/sec per sec, or ft/sec/sec.
The y-intercept is v(0), the initial velocity when t = 0.
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