A balloon is moving up from the ground in such a way that it's 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. It's acceleration becomes zero at a height 3m. What is the speed of the balloon at a height 1.5 m?

Dear student,

Acceleration is linearly dependent.
Acceleration=ax+bAcc=4,b=3 for x=0.Acc=0 for a=-43, b=3and Acceleration is a=vdvdxOn intergrating,0vvdv=034-4x3dxv=12m/s

Regards.

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