Question

A train starts from rest at S = 0 and is subjected to acceleration as shown

• A. Change in velocity at the end of 10 m displacement is 50 m/s.
• B. Velocity of the train for S = 10 m is 10 m/s.
• C. The maximum velocity attained by train is not greater than 14 m/s
• D. The maximum velocity of the train is between 15 m/s and 16 m/s.

Answer 1

Answer: (B), (C)

The correct options are
B Velocity of the train for S = 10 m is 10 m/s.
C The maximum velocity attained by train is not greater than 14 m/s

Area = $\frac{1}{2}\times 10\times (6+4)=\frac{v^2}{2}$

v = 10 m/s

Area upto $30m=\frac{1}{2}\times 30\times 6=\frac{v^2}{2}$

$v^2=180$

$v_{max}=\sqrt{80}<14$