This question looks at velocity when it is not constant.

Alice and Bob are two rabbits running toward a carrot garden. Alice starts 135 m away from the garden and travels at a velocity of va(t) m/s. Bob starts 90 m away from the garden and travels at a velocity of vg(t) m/s. The time t is measured in seconds. Graphs of their velocities are provided below. Explain all your answers. (Note: positive velocities indicate travel towards the garden.) Velocity ( mis) Alice's Velocity Velocity (mis) Bob's Velocity 12 20 Time (s) 12 16 20 Time (8) (a) Alice's Velocity (b) Bob's Velocity (A) Let r(t) be Alice's displacement in metres after t seconds. Find T(0) r(4) iii) r(8) iv) (12) (16) vi) (20) (B) Graph r(t) as a function of t