The initial velocity used by the flea to jump straight upward is 3.1 m/s
<h3>Data obtained from the question</h3>
The following data were obtained from the question:
- Acceleration due to gravity (g) = 9.8 m/s²
- Maximum height (h) = 0.49 m
- Final velocity (v) = 0 m/s (at maximum height)
- Initial velocity (u) =?
<h3>How to determine the initial velocity</h3>
The initial velocity used by the flea to jump upward can be obtained as follow:
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 0.49)
0 = u² – 9.604
Collect like terms
u² = 0 + 9.604
u² = 9.604
Take the square root of both sides
u = √9.604
u = 3.1 m/s
Thus, the initial velocity is 3.1 m/s
Learn more about motion under gravity:
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Question:
Teresa drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Teresa drove home, there was no traffic and the trip only took 8 hours. If her average rate was 20 miles per hour faster on the trip home, how far away does Teresa live from the mountains?
Do not do any rounding.
Answer:
480 miles
That is Teresa lives 480 miles from the mountains
Explanation:
Here we have
Distance D = Speed S × Time t
On her way to the mountain we have
D = S × 12
On her way back we have
D = (S +20)×8
Therefore, by comparing the two above equations, we have
S × 12 = (S +20)×8
Therefore, 12·S = 8·S +160 or
4·S = 160
Hence S = 160/4 = 40 miles/hour
Therefore, from D = S × 12, we have
D = 40 × 12 = 480 miles.
Any change in velocity is called an acceleration. The rock is experiencing the gravitational force from the earth, accelerating it towards the ground.
Zero acceleration means the object's velocity is not changing.
So the object is moving in a straight line, at a constant speed
that could be anything (including zero) as long as it's constant.
