A skier accelerates uniformly from rest at 2 m/s² down a straight slope for 5 seconds. He then reaches the bottom of the slope and continues along the flat ground, decelerating at 1 m/s² until he stops.
(a) Sketch the velocity-time graph and acceleration-time graphs for his journey.
(b) Use your v-t graph from part (a) to find the distance traveled by the skier during the first 5 seconds.​