Answer:
3.02 seconds
Step-by-step explanation:
vf - vi = at
where vf and vi are the final and initial velocities, respectively. a is the acceleration and t is the time of acceleration. The units will be m/s for velocities, and ms^2 for acceleration.
The lazy fox has vi = 0
The final velocity, vf, is equal to at + vi, or simply "at" for our sleepy fox.
The average velocity would be at/2.
Distance travelled would be the average velocity times the time, or:
(vf/2)*t = distance
We want to know how long it will take to go 5 m, so set distance = 5 m:
(at/2)*t = distance
(at/2)*t = 5 m
((1.1m.s^2)t/2)*t = 5 m
((1.1m.s^2)t)*t = 10 m
t*t = (10m)/((1.1m.s^2)
t^2 = 9.09 s^2
t = 3.02 seconds