KinematicsHard
Question
Two stones are projected from level ground. Trajectories of two stones are shown in figure. Both stones have same maximum heights above level ground as shown. Let T1 and T2 be their time of flights and u1 and u2 be their speeds of projection respectively (neglect air resistance). Then
Options
A.T2 > T1
B.T2 = T1
C.u1 > u2
D.u1 < u2
Solution
Since maximum heights are same, their time of flight should be same
∴ T1 = T2
Also, vertical components of initial velocity are same.
∴ Since range of 2 is greater than range of 1.
∴ Horizontal component of velocity of 2 > horizontal component of velocity of 1.
Hence, u2 > u1 .
∴ T1 = T2
Also, vertical components of initial velocity are same.
∴ Since range of 2 is greater than range of 1.
∴ Horizontal component of velocity of 2 > horizontal component of velocity of 1.
Hence, u2 > u1 .
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