A stone tossed vertically into the air with initial velocity v cm/s reaches a maximum height of
h = v ^ { 2 } / 1960 \mathrm { cm }.
h=v 2
/1960cm.
(a) Estimate
\Delta h
Δh
if v = 700 cm/s and
\Delta v = 1 \mathrm { cm } / \mathrm { s }.
Δv=1cm/s.
(b) Estimate
\Delta h
Δh
if v = 1000 cm/s and
\Delta v = 1 \mathrm { cm } / \mathrm { s }.
Δv=1cm/s.
(c) In general, does a 1 cm/s increase in v lead to a greater change in h at low or high initial velocities? Explain
