Free fall is the motion of the body such that it is only acted upon by the force of gravity. Gravitational acceleration is normally 10 m/s² ,for a body in free fall the initial velocity (u) is 0.
Considering an equation of linear motion S= 1/2at² + ut but a=g and u=0
Therefore, S= 1/2gt², h (2.65 t³)= S = 2.65 ×1.55³ = 9.868
t² = 2S/g
t² = 9.868× 2/ 10
= 1.9736
t = √1.9736
Hence, the time taken will be equivalent to the sqrt of 1.9736 (√1.9736) which is equal to 1.405 seconds.
The strength of the gravitational force between two objects depends on the distance between their centers.
At higher altitude, the center of the Earth is farther from the center of YOU, so the strength of the gravitational force between those two objects is less.
The average velocity of the object in moving from point-B to point-C is
(the straight-line distance and direction from point-B to point-C)
divided by
(the time the object takes to make the trip) .
Step 1: Find the upward acceleration.
d = 107 m
a = ???
vi = 0
t = 14.4 sec
d = vi * t + 1/2 at^2
107 = 1/2 a * 14.4^2
a = 214 / (14.4)^2
a = 1.03 m/s^2
Step 2: Find the Volume of the balloon and from that the mass.
V = 4/3 * pi * r^3
r = 6.52 m
V = 4/3 x pi x 6.52^3
V= 1,161 m^3.
Density of air = m/V 1.29 = m/ 1161
M = 1.29 x 1161
m = 1498 kg
Step 3: The force keeping this in equilibrium = F = m* g
F = 1498 * 9.81 = 14692 N
Step 4: Find the mass needed to cause the upward acceleration.
14692 = (1498 - x) * (9.81 + 1.03)
14692 = (1498 - x) * 10.84 Divide both sides by 10.84
1355.35 = 1022 - x
1355.35 - 1022
x = 333.35 kg
