Answer:
Equation of motion is given by:
v=u+at ......[1]
where,
v represents the final velocity is measured in m/s
u represents the initial velocity is measured in m/s
a represents the acceleration is measured in [tex]m/s^2[/tex] and
t represents the time in second
As per the statement: A turtle is traveling at 1 m/s and is slowing down at a constant rate. it stops after three seconds.
⇒ Initial velocity(u) = 1 m/s , final velocity(v) = 0 and t = 3 seconds.
Substitute the given values in [1] to solve for a;
[tex]0 = 1 + 3a[/tex]
Subtract 1 from both sides,
0 -1 = 1+ 3a -1
Simplify:
-1 = 3a
Divide by 3 both sides we get;
[tex]a = -\frac{1}{3}[/tex] [tex]m/s^2[/tex]
Therefore, the acceleration is, [tex] -\frac{1}{3}[/tex] [tex]m/s^2[/tex]
