A sand bag is dropped from a baloon it is observed that strikes the ground 8 sec. Afterwards,how far is the baloon ?
To find the distance of the balloon from the ground, we can use the concept of free fall and equations of motion.
First, let's understand the situation. The sandbag is dropped from the balloon, which means that it will fall freely under the influence of gravity. Since we know that the balloon is stationary, we can assume that it does not move during the sandbag's fall.
The equations of motion that govern free fall are as follows:
1. The equation for distance (d) covered during free fall is given by:
d = (1/2) * g * t^2
where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time of fall.
2. The equation for time (t) taken to fall is given by:
t = √(2 * d / g)
In this case, we know that the sandbag made contact with the ground 8 seconds after being dropped. Therefore, according to equation (2):
t = 8 s
Now, let's calculate the distance using equation (1):
d = (1/2) * g * t^2
= (1/2) * 9.8 * (8^2)
= 0.5 * 9.8 * 64
= 313.6 m (approximately)
Hence, the distance of the balloon from the ground is approximately 313.6 meters.