Question

. A balloon is moving up from the ground in such a way that its acceleration is linearly decreasing
with its height above the ground. It starts from the ground with acceleration 4 m/ s2 and with zero
initial velocity. Its acceleration becomes zero at a height 3 m. The speed of the balloon at a height
1.5 m is

Answer 1

linear independent:
=ax+b
⇒acc=4,b=4 for x=0.⇒acc=0 for a= -4/3 and x=3
⇒acc=v*dv/dx
⇒$\int_{0)^{v}vdv=\int_{0}^{3}(4-4x/3)dx$
⇒v=√12