You drop a stone from a tower. The height h
of the stone (in m) after t seconds is described
by the formula h
Determine the speed after 2 seconds.
At what speed does the stone hit the ground?
justly?
Answer
It appears that the positive sense of the position h
the velocity at t = the initial velocity – 9.8 m/s per second it falls.
So here, with initial velocity, zero, you find -19.6 m/s after two seconds
You can also use the fact that the speed is the derivative of the place. So here it becomes v
In this way you can obtain the corresponding v
To find the speed on the ground you can first easily see how long the stone takes, by setting h
Then back -9.8 m/s per second you have
Try it!
Answered by
prof.dr. Paul Hellings
Department of Mathematics, Fac. IIW, KU Leuven
Old Market 13 3000 Leuven
https://www.kuleuven.be/
.