We should first calculate the highest point that ball reaches.
y' = 40 - 32t = 0
t = 40/32 = 1,25s
y = 25 feet.
To calculate average velocity we use simple formula:
Vav=s/t where s is traveled distance by the time t.
for t=2 we calculate y
y = 16
(i) for t = 2,5 y = 0
Vav = 16/0.5 = 32 feet/s
(ii) for t = 2.1 y = 13.44
Vav = 2.56/0.1 = 25.6 feet/s
(iii) for t = 2.01 y = 15.7584
Vav = 0.2416/0.01= 24.16 feet/s
it seems like the answer would be 24 feet/s. There is a way to calculate that.
<span>In order to answer this question you need to know the specific heat of aluminum and water.
The source below says 0.900 J/g K and 4.186 J/g K respectively.
Let T be the final temperature to be found:
(0.900 J/g K) x (270 g) x (T - (-20))K = (243T + 4860) J gained by the Al
(4.186 J/g K) x (500 g) x (85 - T)K = (177905 - 2093T ) J lost by the coffee
Set the two expressions for heat gained/lost equal to each other:
243T + 4860 = 177905 - 2093T
Solve for T algebraically:
T = 74.1 °C</span>
Answer:
Newton's paw of universal gravitation states that a particle attracts every other particle in the universe using a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance in between them
Answer;
D. The component waves have different frequencies.
Explanation;
-Interference is a property of waves that results from combination of two or more wave trains moving on intersecting or coincident paths. This effect results to the addition of the amplitudes of the individual waves at each point affected by more than one wave.
-When two waves are of the same frequency and are in phase (which means; they vibrate at the same rate and are maximum at the same time), the wave amplitudes are reinforced, producing constructive interference.
-Conversely, when two waves are out of phase by half period (meaning that one is minimum when the other is maximum), the result is destructive interference, producing complete annulment if they are of equal amplitude.
<span>Mass of the object m = 6.90 × 10^−9 kg
Charge of the object Q = 8.30 × 10^−9 C
Surface charge density = 5.90 x 10^-8 C/m^2
Distance d1 = 0.530 m, d2 = 0.170 m
Kinetic energy KE = 1/2 mv^2
Work = F x d = electric field x q x d => E x 8.30 × 10^−9 x (0.530 - 0.170)
Following the energy conversion principles,
1/2 x 6.90 × 10^−9 x v^2 = E x 8.30 × 10^−9 x (0.530 - 0.170)
3.45 x v^2 = 8.30 x 0.36 x E => 3.45v^2 = 3E
calculating the electric field E = 5.90 x 10^-8 / ( 2 x 8.85 x 10^-12) = 3333
So 3.45v^2 = 3 x 3333 => v^2 = 9999 / 3.45 => v^2 = 2898 => v = 53.8 m/s
Intial speed v = 53.8 m/s</span>