A balloon is ascending at the rate of 14 ms-1 and at a height of 98 m

1.	A balloon is ascending at the rate of 14 ms-1 and at a height of 98 m above the ground. A stone is dropped from it. 1. State whether the motion of the balloon is accelerated or retarded.2. After how much time does the stone reach the ground? 3. Determine the velocity with which the stone strikes the ground.
Answer» 1. The motion of balloon is uniform motion. It has neither acceleration nor retardation. 2. u = 14m/s, a = -9.8, S = -98 m. S = ut + 12 at² 98 = 14 t – 12 × 9.8 t² 4.9 t² – 14 t – 98 = 0 Solving this we get t = 6.123 sec 3. ν² = u² + 2as ν²= (14)² + 2 x 9.8 x 98 = 196 + 1920.8 ν² = 2116.8 ν² =√(2116.8) = 45.99 m/s.

A balloon is ascending at the rate of 14 ms-1 and at a height of 98 m above the ground. A stone is dropped from it. 1. State whether the motion of the balloon is accelerated or retarded.2. After how much time does the stone reach the ground? 3. Determine the velocity with which the stone strikes the ground.

Answer»

1. The motion of balloon is uniform motion. It has neither acceleration nor retardation.

2. u = 14m/s, a = -9.8, S = -98 m.

S = ut + 12 at²

98 = 14 t – 12 × 9.8 t²

4.9 t² – 14 t – 98 = 0

Solving this we get t = 6.123 sec

3. ν² = u² + 2as

ν²= (14)² + 2 x 9.8 x 98

= 196 + 1920.8

ν² = 2116.8

ν² =√(2116.8) = 45.99 m/s.

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