A child slides down a hill on a toboggan with an acceleration of 1.8 m/s^2. If she starts at rest, how far has she traveled in : (a) 1.0 s, (b) 2.0 s, and (c) 3.0 s?

Respuesta :

Explanation:

It is given that,

The acceleration of the toboggan, [tex]a=1.8\ m/s^2[/tex]

Initial speed of the toboggan, u = 0

We need to find the distance covered by the toboggan. Using the second equation of motion as :

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

At t = 1 s

[tex]s=\dfrac{1}{2}\times 1.8\times 1^2[/tex]

[tex]s_1=0.9\ m[/tex]

At t = 2 s

[tex]s=\dfrac{1}{2}\times 1.8\times 2^2[/tex]

[tex]s_2=3.6\ m[/tex]

At t = 3 s

[tex]s=\dfrac{1}{2}\times 1.8\times 3^2[/tex]

[tex]s_3=8.1\ m[/tex]

Hence, this is the required solution.