9514 1404 393
Answer:
- time: 1.122 seconds
- range: 10.693 m
- maximum height: 1.543 m
Explanation:
<u>Given</u>:
runner is launched at 30° angle to horizontal at 11 m/s
acceleration due to gravity is g = -9.8 m/s²
<u>Find</u>:
runner's hang time
runner's distance to the landing point
runner's maximum height
<u>Solution</u>:
The (horizontal, vertical) speed components will be ...
(11 m/s)(cos(30°), sin(30°)) = (5.5√3 m/s, 5.5 m/s)
The time of flight can be found from the height formula:
h(t) = 1/2gt² +vt . . . . . . where v is the vertical speed at launch
The time we're concerned with is the time when h(t)=0 and t>0.
0 = -4.9t^2 +5.5√3t = t(-4.9t +5.5√3)
The second factor is zero when ...
t = (5.5√3)/4.9 ≈ 1.122 . . . seconds hang time
__
The distance to the landing point will be the product of horizontal speed and hang time:
d = (5.5 m/s)(5.5√3/4.9 s) ≈ 10.693 m . . . . distance to landing
__
The maximum height can be found from the formula (based on conversion of kinetic energy to potential energy) ...
h = v²/|2g| = (5.5 m/s)²/(2(9.8 m/s²)) ≈ 1.543 m . . . . maximum height
Answer:
b
Explanation:
It is a fossil of sea shells
Answer:
Cell wall: A protective layer covering the outside of the cell. They keep the shape of the plant cell, prevent water loss, and provide support.
golgi apparatus: Transports proteins and lipids around the cell. Often it is called the shipping department of the cell.
chloroplast: Chloroplasts store chlorophyll and this is where photosynthesis takes place in the cell.
Cell membrane: A layer that covers the cell, acts as a gate and determines what comes and goes through the cell. It allows good things in, while keeping others out.
Intermediate filaments: Provides support when when the plant cell comes into contact with other cells.
Ribosome: The part of the cell that is responsible for creating proteins.
When water vapor condenses to become water again, it is relatively pure.
while it occurs during the water cycle, it can be used to purify water for drinking.
Hope this helps