Answer:
The time that the drop is falling =35.875 s
Explanation:
Using one of newton's equation of motion
g = V-u/t ................ Equation 1
Where V = final velocity, u = initial velocity, g = acceleration due to gravity of the moon, t = time.
<em>Note:</em> for a dropping object, u = 0 m/s
g = V/t.................... Equation 2
making t the subject of equation 2 above
t = V/g................. Equation 3
<em>Given: V= 57.4 m/s, g = 1.6 m/s²</em>
Substituting these values into equation 3
t = 57.4/1.6
t = 35.875 s
t = 35.875 s
The time that the drop is falling = 35.875 s
Answer:
A
Explanation:
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Answer:
7.875 ft/s
Explanation:
L = 15 ft
dx/dt = 3 ft/s
x = 9 ft
Let the top of ladder is coming down with the rate of dy/dt.
use Pythagorean theorem
L^2 = x^2 + y^2 .... (1)
Differentiate both sides with respect to t
0 = 2 x dx/dt + 2y dy/dt
x dx/dt = - y dy/dt
When, x = 9 ft then y = ? . Put this in equation (1)
15^2 = 9^2 + y^2
225 - 81 = y^2
y = 12 ft
So
dy/dt = - x (dx/dt) / y = - 9 (3) / 12 = - 9/4 ft/s
Let A be the area of the triangle
A = 1/2 (base)(height)
A = 1/2 (x y)
Differentiate both sides with respect to t
dA/dt = 0.5 (y dx/dt + x dy/dt)
dA/dt = 0.5 [ 12 (3) - 9 (9/4)]
dA/dt = 0.5(36 - 81 /4) = 31.5 / 4 = 7.875 ft/s
Answer:
1.4719 m per sec
Explanation:
Hello
Kinetic energy is the energy associated with the movement of objects. Although there are many forms of kinetic energy
the formula to use is
where m is the mass of the object and v the velocity
lets see the kinetic energy of the sprinter running
Now, the elephant must have the same kinetic energy
it works only the positive root, so the elephant must to walk to 1.4719 m/s to have the same kinetic energy.
Have a great day
51.8 meters lost (excluding 1996)
years 1996-2012(including 1996)-17 yrs*3.7 =62.9 meters