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Kinematics DPP 02 NSEP 2 Year Integrated Program6628ba5493f49a0018cef718

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Physics
Kinematics DPP-02

1. If x denotes displacement in time t and x = a cos t, 7. If for a particle position x  t 2 then:-


then acceleration is: (A) Velocity is constant
(A) a cos t (B) –a cos t (B) Acceleration is constant
(C) a sin t (D) –a sin t (C) Acceleration is variable
(D) none of these
2. The position x of a particle varies with time (t) as
x = at 2 − bt 3 The acceleration at time t of the 8. The displacement of a particle is represented by the
particle will be equal to zero, where t is equal to: following equation: s = 3t3 + 7t2 + 5t + 8 Where s is
2a a in metres and t in second. The acceleration of the
(A) (B)
3b b particle at t = 1s is:-
a (A) 14 m/s2 (B) 18 m/s2
(C) (D) zero
3b (C) 32 m/s2 (D) zero

3. The displacement of a particle starting from rest (at Passage for Ques. 9 to 11
t= 0) is given by s = 6t2 – t3 The time when the A particle is moving along a straight line and it
particle will attain zero velocity again, is: position is given by x = t3 – t2 + 1 velocity is given
(A) 4s (B) 8s dx d2x
by and acceleration is given by
(C) 12 s (D) 16 s dt dt 2

4. The velocity of a body depends on time according 9. Velocity of the particle at t = 2s is -


to the equation, v = 20 + 0.1t2. The body has: (A) 2 m/s (B) 4 m/s
(A) Uniform acceleration
(C) 6 m/s (D) 8 m/s
(B) uniform retardation
(C) non-uniform acceleration
10. Acceleration of the particle at t = 1s
(D) zero acceleration
(A) 2 m/s2 (B) 4 m/s2
(C) 6 m/s2 (D) zero
5. A body is moving according to the equation x = at
+ bt2 – ct3. Then its instantaneous speed is given by:
11. Time at which acceleration is zero -
(A) a + 2b + 3ct (B) a + 2bt – 3ct2
(C) 2b – 6t (D) None of these 4
(A) t = sec
3
6. The motion of a particle described by the equation 2
(B) t = sec
x = a + bt2 where a = 15 cm and b = 3 cm/sec2. Its 3
instantaneous velocity at time 3 sec will be:- (C) t = 1 sec
(A) 36 cm/sec (B) 18 cm/sec 1
(D) t = sec
(C) 16 cm/sec (D) 32 cm/sec 3
2

Answer Key
1. (B) 7. (B)
2. (C) 8. (C)
3. (A) 9. (D)
4. (C) 10. (B)
5. (B) 11. (D)
6. (B)

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