, and that the air resistance on the stone is negligible. 
(above the ground.) 
(the stone is travelling downwards.)
(above the ground.) 
(the stone is travelling downwards.)
.
denote the initial height of the stone (height of the stone at 
.)
denote the initial velocity of the stone.
(in meters) of the stone at time 
(in seconds) would be:
.
(in meters-per-second) of the stone at time 
.
while 
(the stone is initially travelling downwards.) Evaluate both 
and 
for 
:![\begin{aligned} h(t) &= -\frac{1}{2}\, g \cdot t^{2} + v_0 \cdot t + h_0 \\ &= -\frac{1}{2}\ \times 9.81\; \rm m\cdot s^{-2}\times (10\; \rm s)^{2} \\&\quad\quad + \left(-12\; \rm m \cdot s^{-1}\right) \times 10\; \rm s + 1000\; \rm m \\[0.5em] &= 389.5\; \rm m \end{aligned}](/tpl/images/1160/2917/49337.png)
.
.
(the stone is initially travelling upwards.) Evaluate both ![\begin{aligned} h(t) &= -\frac{1}{2}\, g \cdot t^{2} + v_0 \cdot t + h_0 \\ &= -\frac{1}{2}\ \times 9.81\; \rm m\cdot s^{-2}\times (10\; \rm s)^{2} \\&\quad\quad + 12\; \rm m \cdot s^{-1} \times 10\; \rm s + 1000\; \rm m \\[0.5em] &= 629.5\; \rm m \end{aligned}](/tpl/images/1160/2917/16062.png)
.
.Extra
A stone is dropped from a balloon that is descending at a uniform rate of
12 m/s when it...
Physics, 02.03.2021 15:40 taylordalton93
Extra
A stone is dropped from a balloon that is descending at a uniform rate of
12 m/s when it is 1000 m from ground.
a. Calculate the velocity and position of the stone after 10 s and the time
it takes the stone to hit the ground.
b. Solve the same problem as for the case of a balloon rising at the given
velocity​
Answers: 3
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