3. Suppose a free-fall ride at an amusement park starts at rest and is in free fall.



a. What is the velocity of the ride after 2.3 s?


b. How far do people on the ride fall during the 2.3-s time period?

Respuesta :

Answer:

[tex]v = 22.54m/s[/tex] --- Velocity

[tex]h = 25.921m[/tex] --- Distance

Explanation:

Given

[tex]u = 0m/s[/tex] --- Initial velocity

Solving (a): Velocity after 2.3s

To do this, we use the first equation of motion

[tex]v = u + at[/tex]

Where

[tex]t = 2.3s[/tex]

[tex]a = g = 9.8m/s^2[/tex]

So, the equation becomes:

[tex]v = 0 + 9.8 * 2.3[/tex]

[tex]v = 0 + 22.54[/tex]

[tex]v = 22.54m/s[/tex]

Solving (b): Distance covered in 2.3s

We make use of:

[tex]h = ut + \frac{1}{2}gt^2[/tex]

This gives:

[tex]h = 0 * 2.3 + \frac{1}{2}*9.8 * 2.3^2[/tex]

[tex]h = \frac{1}{2}*9.8 * 5.29[/tex]

[tex]h = 25.921m[/tex]