Posted by Ariel on Monday, July 12, 2010 at 2:31pm.
#1 correct
#2 correct
#3 wrong
#4 correct
#5 wrong
----
#6
find t in seconds:
122.5m = (0.5)(g)(t^2)
122.5m = (0.5)(9.8m/s^2)t^2
reducing...
25s^2 = t^2
t = +5 seconds and t = -5 seconds
Disregard the negative time.
That is how long it took to fall 122.5m.
So, if the car traveled horizontally 100m in 5 seconds, speed is 100m/5s = 20m/s which is the answer a.
A more complete explanation...
The car is traveling horizontally at a constant speed. When it drives off the cliff, it keeps going at the same speed (disregarding friction) until it is stopped by hitting the ground. A forumla for (d) distance traveled with constant acceleration, no initial vertical velocity is:
d = (1/2)(a)(t^2)
where a is the acceleration and t is the time. The acceleration due to gravity is about 9.8m/s^2.
d is given as 122.5m.
Once the falling time is found that can be plugged into the formula for speed.
In this case it took 5 seconds to fall, and the car traveled 100m in that time.
In number 5 both bullets fall at the same rate. The horizontal problem has nothing to do with the vertical problem except that the time in the air is the same.
Thanks:)
A motorboat travels at a speed of 40 km/h relative to the surface of the water. If it travels upstream against a current of 12 km/h what is the boats speed relative to the shore?
An airplane flies north at a speed of 150 km/h relative to the air through which it flies. If there is a tail wind of 50 km/h, what is the plane's velocity relative to the ground?
.)An airplane flies north at a speed of 150 km/h relative to the air through which it flies. If there is a tail wind of 50 km/h, what is the plane's velocity relative to the ground?
200 km/h north
.)An airplane flies north at a speed of 150 km/h relative to the air through which it flies. If there is a tail wind of 50 km/h, what is the plane's velocity relative to the ground?
150 km/h
who really cares?
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