Disregarding air friction, the distance traveled by an object due to gravity is : H = 0.5*g*t^2. g is the gravitational constant at the surface of earth.
g= 9.81 m/s^2
After 3 seconds, Distance = .5*9.81*9 = 44.15 meters traveled.
Since it was dropped from a height of 90 meters, the current height is 90 - 44.15 = (a) 45.85 meters
(b) It has to travel 90 meters to hit the ground . So we must find t
Using the same equation
t = (2*H/g)^.5
t = (2*90/g)^.5 = 4.28 seconds until it hits the ground
Use the Midpoint formula:
( (x1 + x2) / 2 , (y1 +y2) / 2 )
( ((-2 + (-4)) /2, (5-9)/2 )
Midpoint: (-3, 7)
Answer:
73.77 ft/s
Step-by-step explanation:
Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.
-Applying Pythagoras theorem:
#Take the derivative of the first equation and solve for 
:
#We then substitute the values given in the question to solve for :
Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s
Answer:
20
Step-by-step explanation:
2 1/2 = 5/2
5/2 x 4/1 = 20/1 = 20
(We are dividing fraction)
(keep change flip)
Answer:
○ ³\⁷
Step-by-step explanation:
Since you are multiplying ⁷√x three times, you write it like this first, ⁷√x³, then according to one of the Six Exponential Rules, ⁿ√aᵐ = aᵐ\ⁿ, ⁷√x³ gets rewritten as x³\⁷.
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**In one of my You-Tube videos, it talks about all six exponential rules. The video is titled "Six Exponential Rules". Go check it out and get as much assistance as you can from the tutorial.
