Kinematics Question 207
Question: A body is projected up with a speed $ ‘u’ $ and the time taken by is $ T $ to reach the maximum height $ H $ . Pick out the correct statement [EAMCET (Engg.) 1995]
Options:
A) It reaches $ H/2 $ in $ T/2 $ sec
B) It acquires velocity $ u/2 $ in $ T/2\sec $
C) it’s velocity is $ u/2 $ at $ H/2 $
D) Same velocity at $ 2T $
Show Answer
Answer:
Correct Answer: B
Solution:
At maximum height velocity $ v=0 $ We know that $ v=u+at $ ,
hence $ 0=u-gT\Rightarrow u=gT $ When $ v=\frac{u}{2} $ , then $ \frac{u}{2}=u-gt\Rightarrow gt=\frac{u}{2}\Rightarrow gt=\frac{gT}{2}\Rightarrow t=\frac{T}{2} $
Hence at $ t=\frac{T}{2} $ , it acquires velocity $ \frac{u}{2} $
