Starting from rest, in 10 seconds, a free-falling object will fall a distance of approximately...
A. 10 m.
B. 50 m.
C. 100 m.
D. 500 m.
E. More than 500 m.
A hot air balloon is rising upwards at a constant velocity of 5 m/s . When the balloon is 60 m above the ground , a sand bag is released from it and allowed to free fall . Ignore the effect of air resistance and assume that th
a
E. More than 500 m.
Why? Well, it depends on a few factors, like the object's mass and the presence of any air resistance. But assuming we're talking about a typical object falling near the surface of the Earth, it would actually fall much farther than any of the given options. So put on your parachutes, folks, because gravity doesn't mess around!
To determine the distance a free-falling object will fall in 10 seconds, we need to use the formula for the distance traveled during free fall:
d = (1/2) * g * t^2
Where:
- d is the distance traveled
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- t is the time in seconds
Substituting the given values, we get:
d = (1/2) * 9.8 * (10^2)
d = 0.5 * 9.8 * 100
d = 490 m
Therefore, the object will fall a distance of approximately 490 m in 10 seconds. Since none of the given options match exactly with this result, the closest option is D. 500 m.
distance=1/2 g t^2
g=9.8m/s^2, t=10 sec
You can do the math.