First we write the kinematic equations
a
v = a * t + vo
r = (1/2) at ^ 2 + vo * t + ro
We have then that:
(10.4 - t) = time that they run at their maximum speed
For Laura:
d = (1/2) at ^ 2 + (at) (10.4 - t)
100 m = (1/2) a (1.96) ^ 2 + [(1.96) a] (8.44)
100 = 1.9208a + 16.5424a
100 = 18.4632a
a = 100 / 18.4632 = 5.42 m / s ^ 2
For Healen:
100 = (1/2) a (3.11) ^ 2 + [(3.11) a] (7.29)
100 = 4.83605a + 22.6719a
100 = 27.50795a
a = 100 / 27.50795
a = 3.64 m / s ^ 2
Answer:
the acceleration of each sprinter is
Laura: 5.42 m / s ^ 2
Healen 3.64 m / s ^ 2
Answer:
C. The number of waves that pass a particular point in a unit of time.
Explanation:
The number of waves that pass a fixed point in unit time and the number of cycles or vibrations undergone during one unit of time by a body in periodic motion is called as frequency.
A body in periodic motion is said to have undergone one cycle or one vibration after passing through a series of events or positions and returning to its original state.
The unit of frequency is Hertz.
Answer
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Explanation:
When pH of the solution is 11.
..(1)
At pH = 11, the concentration of ions is .
When the pH of the solution is 6.
..(2)
At pH = 6, the concentration of ions is .
On dividing (1) by (2).
The ratio of hydrogen ions in solution of pH equal to 11 to the solution of pH equal to 6 is .
Difference between the ions at both pH:
This means that Hydrogen ions in a solution at pH = 7 has ions fewer than in a solution at a pH = 6
Answer:
F' = 251.2 lb
Explanation:
It is given that,
The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car’s speed and inversely as the radius of the curve. So,
W is the weight
v is the speed
r is the radius of curve
W is constant, So
If F = 126 lb, v = 25 mph and r = 400 ft
F' = ?, v' = 45 mph and r' = 650 ft
On solving above equation,
F' = 251.2 lb
So, 251.2 lb of force would keep the same car going 45 mph from skidding on a curve of radius 650 ft. Hence, this is the required solution.
Calorimetry is science. It is an act of measuring the amount of heat produced by a subject. The basic principle of calorimetry is the Law of conservation of energy: the sum of all energies must equal zero:
q1+q2+.....=0;
According to this Law, also it is important to note that heat going into a system is positive, and heat leaving the system is negative,