Answer:
The magnitude of the acceleration is 1.6 m/s².
Explanation:
We can find the magnitude of the acceleration by using the following equation:
[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f}[/tex]: is the final position = 80 m
[tex] x_{0[/tex]: is the initial position = 0
[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)
a: is the acceleration =?
t: is the time = 10 s
Hence, the acceleration is:
[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]
Therefore, the magnitude of the acceleration is 1.6 m/s².
I hope it helps you!