The ball's vertical position
in the air at time
is

The ball is at its original height when
, which happens at


Meanwhile, the ball's horizontal position
at time
is

So when the ball reaches its original height a second time, the ball will have traveled a horizontal distance of

(which you might recognize as the formula for the range of a projectile)
To reach a distance of
, the initial speed
would be

So, the time that taken for the astronaut to fall to the surface of the moon is <u>2.5 s.</u>
<h3>Introduction</h3>
Hi ! In this question, I will help you. In this question, you will learn about the fall time of the free fall motion. Free fall is a downward vertical motion without being preceded by an initial velocity. When moving in free fall, the time required can be calculated by the following equation:



With the following condition :
- t = interval of the time (s)
- h = height or any other displacement at vertical line (m)
- g = acceleration of the gravity (m/s²)
<h3>Problem Solving</h3>
We know that :
- h = height = 5.00 m
- g = acceleration of the gravity = 1.6 m/s²
What was asked :
- t = interval of the time = ... s
Step by step :




<h3>Conclusion</h3>
So, the time that taken for the astronaut to fall to the surface of the moon is 2.5 s.
<h3>See More</h3>
Answer:
-6.0 m/s, 10.4 m/s
Explanation:
To find the x- and y- components, we have to apply the formulas:


where
v = 12.0 m/s is the magnitude of the vector
is the angle between the direction of the vector and the positive x-axis
Here, the angle given is the angle above the negative x-axis; this means that the angle with respect to the positive x-axis is

So, the two components are:


Answer with Explanation:
We are given that
Current in conductor=I=4.99 A (-x direction)
Magnetic field=B=
(1mT=
)
x(in m) and B (in mT)
Length of conductor is given in negative x- direction


Force on current carrying conductor is given by


Integrating on both sides then we get

(
![\vec{F}=-(4.99\times 10^{-3}\times 8.72)[\frac{x^3\hat{k}}{3}]^{2.77}_{1.41}](https://tex.z-dn.net/?f=%5Cvec%7BF%7D%3D-%284.99%5Ctimes%2010%5E%7B-3%7D%5Ctimes%208.72%29%5B%5Cfrac%7Bx%5E3%5Chat%7Bk%7D%7D%7B3%7D%5D%5E%7B2.77%7D_%7B1.41%7D)


a. x- component of force=0
b.y- component of force=0
c.z- component of force=-0.268 N