Asked by rosanna
If you fire a paper clip straight up into the air with a rubber band, its height (in feet) above your hand time t seconds is given by: h = 64t - 16t^2.
1) How long does it take the paper clip to reach its maximum height?
2) If your hand is 6 feet above the ground at "launch", what is the maximum height the paper clip attains?
3) At what 2 times is the paper clip traveling at a speed of 24 ft/sec?
4) What was the initial velocity imparted to the paper clip by the rubber band?
1) How long does it take the paper clip to reach its maximum height?
2) If your hand is 6 feet above the ground at "launch", what is the maximum height the paper clip attains?
3) At what 2 times is the paper clip traveling at a speed of 24 ft/sec?
4) What was the initial velocity imparted to the paper clip by the rubber band?
Answers
Answered by
Steve
#1 as with any parabola, vertex is at t = -b/2a
#2 use the t from #1 and evaluate h(t)+6
#3 dh/dt = 64-32t
when is that 24 or -24?
#4 h(t) = vt-g/2 t^2
#2 use the t from #1 and evaluate h(t)+6
#3 dh/dt = 64-32t
when is that 24 or -24?
#4 h(t) = vt-g/2 t^2