(Solved): 5) A particle is thrown into air with initial velocity v0 making angle of 0 with the horizo ...

5) A particle is thrown into air with initial velocity ${\vec{v}}_0$ making angle of ${?}_0$ with the horizontal. The has a gravitational acceleration $\vec{g}$ and a time-dependent acceleration due to a wind in the $+x$ direction as shown in the figure below. The acceleration due to the wind is given by $a_w=a_{0}t$ where $a_0$ is a constant. Find the following: a) The time it takes to reach the maximum height, b) The maximum height, c) The time of flight, d) The range of the motion.