Answer:
The distance covered by the sprinter, s = 40 m
Explanation:
Given data,
The initial velocity of the sprinter, u = 0 m/s
The acceleration of the sprinter, a = 5 m/s²
The time period of acceleration of the sprinter, t = 4 s
Using the II equations of motion
s = ut + ½ at²
= 0 + ½ (5) (4)²
= 40 m
Hence, the distance covered by the sprinter, s = 40 m
Answer:
it is option 3
Explanation:
because as red shift occurs when object in a space is far from us, so many of the stars we know will be seen in red shift because they are far from us by 20 years the most of the starts we see will be in red shift
After 5 seconds, the person would have travel 75 m
<h3>What is acceleration? </h3>
This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
- a is the acceleration
- v is the final velocity
- u is the initial velocity
- t is the time
<h3>How to determine the final velocity</h3>
We'll begin by obtaining the final velocity of the person. This can be obtained as follow:
- Initial velocity (u) = 10 m/s
- Acceleration (a) = 2 m/s²
- Time (t) = 5 s
- Final velocity (v) = ?
a = (v – u) / t
2 = (v – 10) / 5
Cross multiply
v – 10 = 2 × 5
v – 10 = 10
Collect like terms
v = 10 + 10
v = 20 m/s
<h3>How to determine the distance travelled</h3>
The distance travelled can be obtained as follow:
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 20 m/s
- Acceleration (a) = 2 m/s²
- Distance (s) = ?
v² = u² + 2as
Collect like terms
2as = v² - u²
Divide both sides by 2a
s = (v² - u²) / 2a
s = (20² - 10²) / (2 × 2)
s = 75 m
Thus, the distance travelled by the person is 75 m
Learn more about velocity:
brainly.com/question/3411682
Learn more about acceleration:
brainly.com/question/491732
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Answer:
Independent variable
Explanation:
The temperature of air inside the box depends on the time that the booxes sat on the window sill.
Formula for height
<span> r(t) = a/2 t² + v₀ t + r₀
</span><span> where
</span><span> a = acceleration = -32 ft/sec² (gravity)
</span><span> v₀ = initial velocity
</span><span> r₀ = initial height
</span><span> r(t) = -16t² + v₀ t + r₀
</span> <span>Tomato passes window (height = 450 ft) after 2 seconds:
</span><span> r(2) = 450
</span><span> -16(4) + v₀ (2) + r₀ = 450
</span><span> r₀ = 450 + 64 - 2v₀
</span><span> r₀ = 514 - 2v₀
</span><span> Tomato hits the ground (height = 0 ft) after 5 seconds:
</span><span> r(5) = 0
</span><span> -16(25) + v₀ (5) + r₀ = 0
</span> r<span>₀ = 16(25) - 5v₀
</span><span> r₀ = 400 - 5v₀
</span><span>
r₀ = 514 - 2v₀ and r₀ = 400 - 5v₀
</span> <span>514 - 2v₀ = 400 - 5v₀
</span><span> 5v₀ - 2v₀ = 400 - 514
</span> <span>3v₀ = −114
</span><span> v₀ = −38
</span><span> Initial velocity = −38 ft/sec (so tomato was thrown down)
</span><span> (initial height = 590 ft) </span>
