Tutorial$6\_$Wk$11\_$Monday

Ice sled Contest

After a hectic and tiring week, you have planned a fun outing with your $8-$year$-$old brother to the snow Oman at Oman Mall. Oman snow team is gearing up for an exciting competition, setting up two heavy ice sleds, each weighing $42\mathrm{.}7$ kg $,$ in a line on the icy arena. The distance between the sleds is one meter. The challenge involves contestants jumping from one ice sled to the other and then bouncing back to their starting point. To win the challenge you have to jump hard enough to make the sleds move and trigger the speed cameras. The speed cameras, placed on the left and right sides of the sleds, are set to activate under specific conditions. The camera on the left will sound an alarm if the ice sled exceeds a speed of $0\mathrm{.}7\frac{m}{s},$ while the camera on the right will be triggered if the sled surpasses $0\mathrm{.}9\frac{m}{s}.$ Your adventurous brother, weighing $20$ kg $,$ eagerly decides to join the competition. With a burst of energy, he jumps from the ice sled on the left to the other and bounces back at a speed of $3\mathrm{.}1\frac{m}{s}$ relative to the icy surface. Doing quick calculations, do you think your brother can make it$?$