Question
While entering a freeway, a car accelerates from rest at a rate of $2.40 \textrm{ m/s}^2$ for 12.0 s. (a) Draw a sketch of the situation. (b) List the knowns in this problem. (c) How far does the car travel in those 12.0 s? To solve this part, first identify the unknown, and then discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, check your units, and discuss whether the answer is reasonable. (d) What is the car's final velocity? Solve for this unknown in the same manner as in part (c), showing all steps explicitly.
1. Please see the solution video
2. $a = 2.40 \textrm{ m/s}^2$, $v_0 = 0 \textrm{ m/s}$, $x_0 = 0 \textrm{ m}$, $t_0 = 0 \textrm{ s}$, $t = 12.0 \textrm{ s}$
3. $173 \textrm{ m}$
4. $28.8 \textrm{ m/s}$
Solution Video