A freeway has a flow$-$density relationship approximated byfor andforwhere k is in vpmpl$.$ Flow on a particular day is approximately $1,600$ vphpl$.$ At $2$:$00$p$.$m$.$ an incident occurs that reduces capacity to $1,200$ vphpl$.$ After $30$ minutes theincident is cleared which increases the capacity to its normal value of $2,200$ vphpl$.$Assuming that there are no ramps upstream in the range of the queue resulting fromthis incident:a$.$ What are the speeds of the forming and clearing shock waves that result?b$.$ When and where these shockwaves intersect?