Answer:
k = 104.46 N/m
Explanation:
Here we can use energy conservation
so we will have
initial gravitational potential energy = final total spring potential energy
as we know that she falls a total distance of 31 m
while the unstretched length of the string is 12 m
so the extension in the string is given as
so we have
The definition of speed is (distance covered) / (time to cover the distance) .
So a unit of speed has to be (a unit of length) / (a unit of time) .
Here are several perfectly fine units of speed:
-- miles per hour
-- feet per second
-- meters per second
-- kilometers per hour
-- inches per second
-- centimeters per minute
-- yards per Century
-- furlongs per fortnight
-- nanometers per microsecond
-- Smoots per week
-- parsecs per millenium
Answer:
2.85 s .
Explanation:
y(t) = y(0) + v₀t + 1/2 gt²
y(t) is vertical displacement , y(0) is initial position , v₀ is initial velocity and t is time required to make vertical displacement and g is acceleration due to gravity.
Here y(0) is zero , v₀ = 14 m/s , g = 9.8 m s⁻² , y(t ) = 0 , as the pumpkin after time t comes back to its initial position, that is ground .
We shall take v₀ as negative as it is in upward direction and g as positive as it acts in downward direction
Put the values in the equation above,
0 = 0 - 14t + 1/2 x 9.8 t²
14 t = 1/2 x 9.8 t²
t = 28 / 9.8
t = 2.85 s .
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2. A as well.. 99% sure.. and so far my 99% sure has been 100% correct so ... :p
Answer:
Explanation:
<u>Function Modeling
</u>
We can express the relations between different variables and magnitudes in mathematics formulas. This allows us to better manipulate the field data and even make predictions and take decisions out of them.
We know Cortez spends a total of 65 minutes of running and swimming. Let's call r the minutes of running and s the minutes of swimming. The first condition implies that
Or, equivalently
The energy burnt when running are 15 calories per minute. It means that he burns 15r in r minutes. Similarly, Cortez burns 6s calories when swimming. The total energy he burns is
Replacing the formula for s, we get
That formula gives the total calories Cortez burns in r minutes of running
