Answer:
4.5 s, 324 ft
Explanation:
The object is projected upward with an initial velocity of
The equation that describes its height at time t is
(1)
where t, the time, is measured in seconds.
In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):
(2)
At the maximum heigth, the vertical velocity is zero:
v(t) = 0
Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:
And by substituting this value into eq.(1), we also find the maximum height:
(a) Period of the wave
The period of a wave is the time needed for a complete cycle of the wave to pass through a certain point.
So, if an entire cycle of the wave passes through the given location in 5.0 seconds, this means that the period is equal to 5.0 s: T=5.0 s.
(b) Frequency of the wave
The frequency of a wave is defined as
since in our problem the period is
, the frequency is
(c) Speed of the wave
The speed of a wave is given by the following relationship between frequency f and wavelength
:
Answer:
Pure Food and Drug Act of 1906
Explanation:
The Pure Food and Drug Act of 1906 prohibited the sale of misbranded or adulterated food and drugs in interstate commerce and laid a foundation for the nation's first consumer protection agency, the Food and Drug Administration
bullet's change in kinetic energy=<span> The work done by the resistive force "F" </span>
<span>-Fx = 0 - (1/2)mv^2 </span>
<span>F(.12) = (1/2)(.01)(160000) </span>
<span>F = 6666.7 N </span>
<span>change in momentum; </span>
<span>- (6666.7)t = 0 - (.01)(400) </span>
<span>t = .0006 s </span>
<span>the bullets acceleration is </span>
<span>a = - F/m = - 666667 m/s2 </span>
<span>So plot the graph; </span>
v = 400 - (666667)t
hope this helps
