Answer:
t = 7 sec.
Explanation:
As the car and the truck travel the same distance, assuming a constant acceleration, we can describe the movement of the truck and the car with these equations for this same displacement:
x(truck) = v*t (1)
x(car) = [tex]\frac{1}{2}*a*t^{2} (2)[/tex]
As the left sides of (1) and (2) are equal each other, the same must be true for the right sides:
v*t = [tex]\frac{1}{2}*a*t^{2}[/tex]
Solving for t, replacing v= 10.5 m/s and a= 3 m/s², we have:
[tex]t = \frac{2*v}{a} = \frac{2*10.5 m/s}{3 m/s2} = 7 sec.[/tex]
⇒ t = 7 sec.
