(Solved): How to find the expression, in Cartesian unit-vector notation, for the average acceleration of the c ...

(9\%) Problem 10: A car moves along a horizontal road with constant velocity $\begin{array}{rl}{\vec{v}}_0& =v_{0,x}\hat{i}\\ & =(47.6\mathrm{m}/\mathrm{s})\hat{i}\end{array}$ until it encounters a smooth inclined hill. It climbs the hill with constant velocity $\begin{array}{rl}{\vec{v}}_1& =v_{1,x}\hat{i}+v_{1,y}\hat{j}\\ & =(40.7\mathrm{m}/\mathrm{s})\hat{i}+(6.13\mathrm{m}/\mathrm{s})\hat{j}\end{array}$ as indicated in the figure. The period of time during which the car changes its velocity is $\Delta t=2.69\mathrm{s}$ $50\%$ Part (a) Enter an expression, in Cartesian unit-vector notation, for the average acceleration of the car during the given time period using the symbols provided.