For a human jumper to reach a height of 110 cm, the person will need to leave the ground at a speed of 4.65 m/s.
We can calculate the initial speed to reach 110 cm of height with the following equation:

Where:
: is the final speed = 0 (at the maximum height of 110 cm)
: is the initial speed =?
g: is the acceleration due to gravity = 9.81 m/s²
h: is the height = 110 cm = 1.10 m
Hence, the <u>initial velocity</u> is:

Therefore, the initial speed that the person must have to reach 110 cm is 4.65 m/s.
You can see another example here: brainly.com/question/13359681?referrer=searchResults
I hope it helps you!
Answer:
1. increases
2. increases
3. increases
Explanation:
Part 1:
First of all, since the box remains at rest, the horizontal net force acting on the box must equal zero:
F1 - fs = 0.
And this friction force fs is:
fs = Nμs,
where μs is the static coefficient of friction, and N is the normal force.
Originally, the normal force N is equal to mg, where m is the mass of the box, and g is the constant of gravity. Now, there is an additional force F2 acting downward on the box, which means it increases the normal force, since the normal force by Newton's third law, is the force due to the surface acting on the box upward:
N = mg + F2.
So, F2 is increasing, that means fs is increasing too.
Part 2:
As explained in the part 1, N = mg + F2. F2 is increasing, so the normal force is thus increasing.
Part 3:
In part 1 and part 2, we know that fs = Nμs, and since the normal force N is increasing, the maximum possible static friction force fs, max is also increasing.
1250 decigrams
1 gram = 10 decigrams
Answer:
h = 9.57 seconds
Explanation:
It is given that,
Initial speed of Kalea, u = 13.7 m/s
At maximum height, v = 0
Let t is the time taken by the ball to reach its maximum point. It cane be calculated as :




t = 1.39 s
Let h is the height reached by the ball above its release point. It can be calculated using second equation of motion as :

Here, a = -g


h = 9.57 meters
So, the height attained by the ball above its release point is 9.57 meters. Hence, this is the required solution.
Answer:
Part A)
t(1) > t(2), the stone thrown 30 above the horizontal spends more time in the air.
Part B)
x(f1) > x(f2), the first stone will land farther away from the building.
Explanation:
<u>Part A)</u>
Let's use the parabolic motion equation to solve it. Let's define the variables:
- y(i) is the initial height, it is a constant.
- y(f) is the final height, in our case is 0
- v(i) is the initial velocity (v(i)=16 m/s)
- θ1 is the first angle, 30°
- θ2 is the first angle, -30°
For the first stone
(1)
For the second stone
(2)
If we solve the equation (1) we will have:
We can do the same procedure for the equation (2)
We can analyze each solution to see which one spends more time in the air.
It is easy to see that the value inside the square root of each equation is always greater than 8, assuming that the height of the building is > 0. Now, to get positive values of t(1) and t(2) we need to take the negative option of the square root.
Therefore, t(1) > t(2), it means that the stone thrown 30 above the horizontal spends more time in the air.
<u>Part B)</u>
We can use the equation of the horizontal position here.
<u>First stone</u>


<u>Second stone</u>


Knowing that t(1) > t(2) then x(f1) > x(f2)
Therefore, the first stone will land farther away from the building.
They land at different points at different times.
I hope it helps you!