A body is projected up a smooth inclined plane with velocity v from the point A as shown in the figure. The angle of inclination is 45 0 and the top is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of v? Length of inclined plane is 
m.
A
40 ms –1
B
ms –1
C
20 ms –1
D
ms –1
Text Solution
Verified by ExpertsThe correct answer is:
D
= 40 [ θ = 45 0 ] v' 2 = 40 g but v' 2 = v 2 – 2a λ
or 40g = v 2 – 2 (g sin 45 0 ). 
or 40 g = v 2 – 40g
or v 2 = 80g or v = 
m/s
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