(a) What is the acceleration of the missile? (b) What is its velocity after 12 s? How long will it take to reach 10,000 m?
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a = F/m = (5x10^7N)/10^5 = 5x10^2 m/s^2.
A = a-g = (5x10^2) - (9.8) m/s^2 if going straight up from surface of the Earth.
V = AT = 490.2 m/s^2 x 12s = 5882.4 m/s if no air resistance.
H = 0.5AT^2
10000 = 0.5(490.2)T^2
T^2 = 40.8
T = 6.39s
A = a-g = (5x10^2) - (9.8) m/s^2 if going straight up from surface of the Earth.
V = AT = 490.2 m/s^2 x 12s = 5882.4 m/s if no air resistance.
H = 0.5AT^2
10000 = 0.5(490.2)T^2
T^2 = 40.8
T = 6.39s