A bus moves over a straight level road with a constant acceleration a. A boy in the bus drops a ball out side. The acceleration of the ball w.r.t the bus and the earth are respectively

Options

A. (a)a and g
B. (b)`a+ g and g-a `
C. (c)` sqrt( a^(2) +g^(2) ) and g`
D. (d)` sqrt ( a^(2) + g^(2) ) and a`

Answer

C

Explanation

` overset -a `ball (w.r.t.ground )`=-g hatj `
` overset -a ball` bus (w.r.t. bus ) `= overset-a _(ball) -overset - a _(bus ) `
` (##VMC_PHY_XI_WOR_BOK_01_C02_E02_064_S01.png" width="80%">
` |overset-a_(ball -bus ) | =sqrt (g^(2) + a^(2)) " ", sqrt (g^(2) +a^(2)) and g `
` (##VMC_PHY_XI_WOR_BOK_01_C02_E02_064_S02.png" width="80%">