Question

A coin is dropped from a hot air ballon that is 310 m above the ground + rising vertically at 9.5 m/s. For this problem use a coordinate system in which up is positive. a.) Find the maximum height in meters, that the coin attains. b.) Find the height above the ground, in meters, 4.00 s after being released. c.) Find its velocity, in meters per second, 4.00 s after being released. d.) Find the time, in seconds, that it takes the coin to hit the ground.

Answer 1

a) from kinematic equation y vo? = saya at maximum height, v= m/s - Vo = zay = 4.6om 2(-9-80m/5) maxincem height = 310m + 4-60m = 314-6m y = - Vo = - (1.5m/s)" From kinematic equation y = vot + hat y = (q-smis) (45) +Ź (-9-80%)/2)(us) = - yooum, which is a height of h = 269.6m c) V = Vot at = 9.5 m/s +69.com),») (US) v= 29.7 m/s d) y = yot Vot + ţat 0 = 30m +(9.5m/s) +-(4.90) et 4.904-9.5+-310 - 0 to By solving Quadratic equation t = 8.9825, -7.0435 t =(8.9825