contestada


An object is dropped without initial speed
from a height of 20 m above ground and falls
with a constant acceleration of 10 m.s-2.
a. How long does it take the object to
reach the ground?
b. What is its speed upon reaching
ground?

Respuesta :

Answer:

a. t = 2 s

b. vf = 20 m/s

Explanation:

a.

We can the second equation of motion to find out the time to reach the ground:

[tex]h = v_it + \frac{1}{2}at^2[/tex]

where,

h = height = 20 m

vi = initial velocity = 0 m/s

t = time taken to reach the ground = ?

a = acceleration = 10 m/s²

Therefore,

[tex]20\ m = (0\ m/s)t+\frac{1}{2} (10\ m/s^2)t^2\\\\t^2 = \frac{20\ m}{5\ m/s^2}\\\\t = \sqrt{4\ s^2}[/tex]

t = 2 s

b.

Here, we will use the first equation of motion to find the final speed:

[tex]v_f = v_i + at\\v_f = 0\ m/s + (10\ m/s^2)(2\ s)[/tex]

vf = 20 m/s