After 8 s, both the balloon and the stone have upward velocity of v = (1.25 m/s^2)*(8 s) = 10 m/s Both the balloon and the stone would have traveled upward by a height of h = (1/2)*(1.25 m/s^2)*(8 s)^2 = 40 m
When the stone is dropped, it will (a) have an initial upward speed of 10 m/s, (b) it will be 40 m above ground, (c) the time for it to reach the ground is given by (10 m/s)t - (1/2)*(9.81 m/s^2)t^2 = -40 4.9t^2 - 10t - 40 =0 Use the quadratic formula to obtain t = 4.054 s (d) it will travel a distance upward, s, given by 0 = 10^2 - 2(9.8)s => s = 5.1 m The stone will attain a height of 45.1 m aboe ground.
Answer: c. The stone will reach the ground in 4 s.
The dependent variable is the iron in your blood because it depends on the amount of spinach you eat. The independent variable will be the amount of spinach you eat since it doesn’t depend on the iron for anything.
