The alligator takes 10 s to accelerate from 5 m/s to 35 m/s
Explanation:
The motion of the alligator is a motion at constant acceleration, so we can use suvat equations:
[tex]v=u+at[/tex]
where:
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
For the alligator in this problem, taking leftward as positive direction, we have:
u = 5 m/s
v = 35 m/s
[tex]a=3 m/s^2[/tex]
So we can solve for t, to find the time it takes for the velocity of the alligator to change from 5 m/s to 35 m/s:
[tex]t=\frac{v-u}{a}=\frac{35-5}{3}=10 s[/tex]
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