Question

9: Rising Hot Air Balloon-40.0 pts possible part 1 of 4 Your response... A hot air balloon is traveling vertically up- ward at a constant speed of 3.8 m/s. When it is 18 m above the ground released from the balloon After it is released, for how long is the package in the air? The acceleration of gravity is 9.8 m/s2 Answer in units of s a package is part 2 of 4 Your response... What is its speed just before impact with the ground? Answer in units of m/s.

Answer 1

1] Using second equation of motion,

s = ut + 0.5at^2 where u is initial velocity, s is displacement, a is acceleration, upward is taken as positive,

-18 = 3.8t +0.5*-9.8*t^2

t = 2.343 s answer

2] final speed v = |u +at |= absolute value of  3.8 -9.8*2.343 = 19.2 m/s

3] Using second equation of motion,

s = ut + 0.5at^2 where u is initial velocity, s is displacement, a is acceleration, upward is taken as positive,

-18 = -3.8t +0.5*-9.8*t^2

t = 1.568 s answer

4] final speed v = |u +at |= absolute value of -3.8 -9.8*1.568 = 19.2 m/s