Q.1 The diagram represents the straight line motion of a car. Which of the following statements is true? 
(A) The car accelerates, stops, and reverses (B) The car accelerates at 6 m/s2 for the first 2 s
(C) The car is moving for a total time of 12 s (D) The car decelerates at 12 m/s2 for the last 4 s
(E) The car returns to its starting point when t = 9 s
Q.2 The velocity function of an object moving along a straight line is given by v(t) = At2 + Bt. If at t = 2s, the velocity is 3 m/s and acceleration is 0.500 m/s2, find the value of the constant A. 
(A) -0.5 m/s3 (B) -0.5 m/s2 (C) -2.5 m/s3 (D) -1.5 m/s2
Q.3 A particle moves along a straight line and its position as function of time is given by
x = t3 -3t2 + 3t + 3
then particle 
(A) stops at t = 1s and reverses its direction of motion
(B) stops at t = 1s and continues further without change of direction
(C) stops at t = 2s and reverses its direction of motion
(D) stops at t = 2s and continues further without change of direction
Q.4 The relationship between the distance s travelled by a body and the time t is described by the equation s = A + Bt + Ct2 + Dt3, where C = 0.14 m/s2 and D = 0.01 m/s2. In what time after motion begins will the acceleration of the body be equal to 1 m/s2 ? 
(A) 10 sec (B) 50/3 sec (C) 12 sec (D) 18 sec
[Q.5 to Q.7 more than one correct]
Q.5 The velocity time graph of 2 bodies A & B is given here. Choose correct statement. 
(A) acceleration of B > acceleration of A
(B) acceleration of A > acceleration of B
(C) Both of them have the same initial velocity.
(D) B covers lesser distance than A in the same time.
Q.6 Which of the following statements are true based on graphs of y-versus x as shown below: 
(i) (ii) (iii) (iv)
(A) Slope at x0 is positive and non-zero in graph (i) and (ii)
(B) Slope is constant in (iii)
(C) Slope at x0 is negative in (iv) at x0
(D) Slope at x0 is negative in (ii)
Q.7 The position of a particle varies according to the expression x = t(t - 1) (t - 2) then 
(A) velocity will be zero at t2 = second and t2 = sec.
(B) Acceleration changes its direction between t1 = 0 and t2 = 2.
(C) Acceleration remains constant in direction between t1 = 0 and t2 = 2.
(D) None of the above
Q.8 Consider the motion of a particle in a x-y plane as shown in the diagram. Match the property of the curvilinear path at different points on path given is column-I with the properties given in column-II. 
Column I Column II
(A) Point (1) (P) x is positive
(B) Point (2) (Q) y is positive
(C) Point (3) (R) slope is positive
(D) Point (4) (S) slope is zero
8 (A) Q,S (B) P,Q,R,T (C) P,S (D) P,T