Physics
Vectors and Equilibrium
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#169 To a person going east in a car with a velocity of 10$ms^{-1}$, a train appears to move towards north with a velocity of $10\sqrt{3}$ $ms^{-1}$. The actual velocity of the train is
A) 10 $ms^{-1}$ northeast
B) 10 $ms^{-1}$ Northwest
C) 20 $ms^{-1}$ Northeast
D) 20 $ms^{-1}$ northwest
#170 A ball is projected at 45° and its horizontal range is 10 m. Velocity of projection is
A) $7\sqrt{3}$ $ms^{-1}$
B) 15 $ms^{-1}$
C) 9.6 $ms^{-1}$
D) $7\sqrt{2}$ $ms^{-1}$
#171 The ratio of distance to magnitude of displacement along a semi-circle of radius r is
A) $2\pi$
B) $\pi$
C) $\pi/2$
D) $3\pi$
#172 The ratio of range to height at 45° is
A) 1:4
B) 1:2
C) 4:1
D) 2:1
#173 If h = R then angle of projection is
A) 45°
B) 76°
C) 60°
D) 90°
#174 Speedometer of an automobile measures
A) Average velocity
B) Instantaneous velocity
C) Acceleration
D) Instantaneous speed
#175 Two bodies are projected at angles θ and (90°–θ) with the horizontal at the same speed. The ratio of their maximum heights is
A) 1:1
B) 1:tanθ
C) 1:tanθ
D) $tan^2:1$
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