A stone tossed vertically into the air with initial velocity v cm s reaches a maximum height of h v 2 1960 cm (a) Estimate h if v 700 cm s and v 1 cm s (b) Estimate h if v 1000 cm s and v 1 cm s (c) In general, does a 1 cm s increase in v lead to a greater change in h at low or high initial velocit...

A stone tossed vertically with initial velocity v cms attains a max ...

A stone tossed vertically into the air with initial velocity v cm/s reaches a maximum height of

Question:

A stone tossed vertically into the air with initial velocity v cm/s reaches a maximum height of h = v²/1960 cm.
(a) Estimate Δh if v = 700 cm/s and Δv = 1 cm/s.
(b) Estimate Δh if v = 1000 cm/s and Δv = 1 cm/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.

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