1.

A body is projected with a speed of 40 m/s vertically up from the ground. What is the maximum height reached by the body? What is the entrie time of motion? What is the velocity at 5 seconds after the projection? Take g = 10 m/s2.

Answer»

Initial speed u = 40 m/s ; g = 10 m/s2

 Maximum height reached (h) =  \(\frac{u^2}{2\,g}=\frac{40\,\times\,40}{2\,\times\,10}\) = 80 m 

Entire time of motion (T) = \(\frac{2u}{g}=\frac{2\,\times\,40}{10}\) = 8 s 

Entire time of motion is 8 seconds. 

∴ It starts to fall down after 4 seconds. At 5 seconds the body is in downward direction.

u = 0 m/s, a = g = 10 m/s2, t = 5 – 4 = 1 sec.

v = u + at = 0 + 10 × 1 = 10 m/s

∴ The velocity at 5 seconds is 10 m/s downward.



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