velocity - speed of an object in a given direction
A 50-pound bowling ball and an 8-pound bowling ball are dropped from a tall building. Which ball wilA 50-pound bowling ball and an 8-pound bowling ball are dropped from a tall building. Which ball will hit first?
[B]They will land at the same time[/B]
[B]How fast something falls due to gravity is determined by a number known as the "acceleration of gravity", which is 9.81 m/s^2 at the surface of our Earth. In one second, [I]any object[/I]’s downward velocity will increase by 9.81 m/s because of gravity. This is just the way gravity works - it accelerates everything at exactly the same rate.[/B]
A girl is pedaling her bicycle at a velocity of 0.10 km/hr. How far will she travel in two hours?A girl is pedaling her bicycle at a velocity of 0.10 km/hr. How far will she travel in two hours?
The distance formula is:
d = rt
We're given a rate (r) of 0.10km/hr
We're given time (t) of 2 hours
Plug these values into the distance formula and we get:
d= 0.1 * 2
d = [B]0.2km
[MEDIA=youtube]w80E_YM-tDA[/MEDIA][/B]
A ship is traveling at an average velocity of 28 miles per hour. How far will the ship travel in twoA ship is traveling at an average velocity of 28 miles per hour. How far will the ship travel in two days?
28 miles/1 hour * 24 hours/1 day * 2 days
28 * 24 * 2 = [B]1,344 miles[/B]
AccelerationFree Acceleration Calculator - Solves for any of the 4 items in the acceleration equation including initial velocity, velocity, and time.
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Find the velocity of a cheetah that runs 100m in 4 secondsFind the velocity of a cheetah that runs 100m in 4 seconds
100m / 4 seconds
Divide top and bottom by 4
[B]25m/second[/B]
In a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind presIn a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind pressure is a measure of a hurricane's destruction capacity, what happens to this destructive power when the wind speed doubles?
Let P = pressure and v = velocity (wind speed)
We are given p = v^2
Double velocity, so we have a new pressure P2:
P2 = (2v)^2
P2 = 4v^2
Compare the 2:
p = v^2
p = 4v^2
Doubling the wind speed [B]quadruples, or 4 times[/B] the pressure.
Kinetic EnergyFree Kinetic Energy Calculator - Solves for any of the 3 items in the kinetic energy equation: Energy (e), Mass (m), and Velocity (v)
Projectile MotionFree Projectile Motion Calculator - Solves for time using a height and velocity of an object thrown up in the air
The height of an object t seconds after it is dropped from a height of 300 meters is s(t)=-4.9t^2 +3The height of an object t seconds after it is dropped from a height of 300 meters is s(t)=-4.9t^2 +300. Find the average velocity of the object during the first 3 seconds? (b) Use the Mean value Theorem to verify that at some time during the first 3 seconds of the fall the instantaneous velocity equals the average velocity. Find that time.
Average Velocity:
[ f(3) - f(0) ] / ( 3 - 0 )
Calculate f(3):
f(3) = -4.9(3^2) + 300
f(3) = -4.9(9) + 300
f(3) = -44.1 + 300
f(3) = 255.9
Calculate f(0):
f(0) = -4.9(0^2) + 300
f(0) = 0 + 300
f(0) = 300
So we have average velocity:
Average velocity = (255.9 - 300)/(3 - 0)
Average velocity = -44.1/3
Average velocity = -[B]14.7
[/B]
Velocity is the first derivative of position
s(t)=-4.9t^2 +300
s'(t) = -9.8t
So we set velocity equal to average velocity:
-9.8t = -14.7
Divide each side by -9.8 to solve for t, we get [B]t = 1.5[/B]
while scuba diving jerey rose directly toward the surface of the water at a constant velocity for 2.while scuba diving jerey rose directly toward the surface of the water at a constant velocity for 2.0 minutes. he rose 9.0 meters in that time. what was his velocity?
9 meters / 2 minutes = [B]4.5 meters / minute[/B]