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Question 1: A ball is just allowed to fall from the window of a moving train, it will hit the ground following: (ETEA 2005)
A) Circular path
B) Hyperbolic
C) Straight line path
D) Parabolic path
Explanation: It has an initial horizontal velocity, which is same as that of train. It acquires a vertical component under the force of gravity.
Question 2: A particle moves along the straight line. The distance x describes in time, t is given by the equation x = t³ the acceleration a at t =1 (ETEA 2005)
A) a = 1
B) a = 2
C) a = 3
D) a = 4
Explanation: s = x = t³, v = s⁄t = x′⁄t = t², a = v/t = t² / t = t, At t=1, a = 1
Question 3: The vertical velocity of ball thrown upward ______ with time. (MCAT 2008)
A) Decreases linearly
B) Doubles
C) Remains constant
D) Decreases parabolically
Explanation: The vertical velocity of ball thrown upward decreases linearly with time.
Question 4: An ______ missile is called a ballistic missile. (MCAT 2008)
A) Un-powered and guided
B) Powered and guided
C) Un-guided and powered
D) Un-powered and un-guided
Explanation: An unpowered and unguided missile is called ballistic missile.
Question 5: A body is moving with an initial velocity of 2 kms⁻¹. After a time of 50 secs its velocity becomes 1.5 kms⁻¹. Its acceleration will be: (MCAT 2009)
A) 30 ms⁻²
B) 20 ms⁻²
C) 40 ms⁻²
D) 10 ms⁻²
Explanation: vá¶ = váµ¢ + a × t, a = (vá¶ − váµ¢) ⁄ t, a = (1.5×10³ − 2×10³) ⁄ 50 = −0.5×10³ ⁄ 50 = −10 m/s²
Question 6: In elastic collision, when a massive body collides with light body at conditions m₁ >> m₂ and v₁ = 0 ms⁻¹, then the change in velocity will be written as: (MCAT 2009)
A) v₁' ≈ -v₁ ; v₂' ≈ v₁
B) v₁' ≈ v₁ ; v₂' ≈ 2v₁
C) v₁' = v₁ ; v₂' ≈ 0
D) v₁' ≈ -v₁ ; v₂' ≈ 0
Explanation: When a massive body collides with a light body then: v₁′ ≈ v₁, v₂′ ≈ 2v₁
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