Question

turtle goes 0.50m/s rabbit goes 3.0m/s^2.. rabbit gives turtle 195 seconds head start. how long will it take for hare to catch turtle?


195*.5=97.5m
+amount covered while rabbit is catching up

Answer 1

d = 0.5m/s * 195s = 97.5 m. Head-start.

d2 = d1 + 195 m.
0.5*a*t^2 = r*t + 195
0.5*3*t^2 = 0.5*t + 195
1.5t^2 - 0.5t - 195 = 0
Use Quadratic formula.
t = 11.6 s.