A grapefruit falls from a tree and hits the ground 0.80 s later.

A. How far did the grapefruit drop?
Express your answer to two significant figures and include the appropriate units.

B. What was its speed when it hit the ground?
Express your answer to two significant figures and include the appropriate units.

Respuesta :

This question can be solved by using equations of motion.

A. The grapefruit dropped by "3.1 m".

B. The speed of the grapefruit, when it hit the ground was "7.8 m/s".

A.

We will use the second equation of motion here to find out the distance dropped by the grapefruit:

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

where,

h = height dropped = ?

vi = initial speed = 0 m/s

t = time period = 0.8 s

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]h = (0\ m/s)(0.8\ s)+\frac{1}{2}(9.81\ m/s^2)(0.8\ s)^2[/tex]

h = 3.1 m

B.

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

[tex]v_f = v_i +gt[/tex]

vf = 0 m/s + (9.81 m/s²)(0.8 s)

vf = 7.8 m/s

Learn more about equations of motion here:

https://brainly.com/question/20594939?referrer=searchResults

The attached picture shows the equations of motion in the horizontal and vertical directions.

Ver imagen hamzaahmeds