(Solved): As the light turns at an intersection, a truck passes you at \( 13 \mathrm{~m} / \mathrm{s} \) (abo ...

As the light turns at an intersection, a truck passes you at \( 13 \mathrm{~m} / \mathrm{s} \) (about \( 30 \mathrm{MPH}) \). At the same time, you step on the gas and accelerate at \( 5 \mathrm{~m} / \mathrm{s}^{2} \). Will you be able to catch the truck without exceeding the speed limit of \( 20 \mathrm{~m} / \mathrm{s} \) (about \( 45 \mathrm{MPH} \) ). If yes, how far down the road and how fast will you be moving? If no, how slow must the truck have been moving for you to catch up without exceeding the speed limit?