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Q.1 _{0} + at^{2} + b sint)K, where
T_{0} is the temperature in Kelvin at t = 0 sec. &
a = 2/p. K/s^{2} & b = - 4 K, then rate of change of temperature at t = psec. is [3]
(A) 8 K (B)
8
In a one dimensional motion position 'x' and time 't' are related as, (where x is in metres and t is in seconds.)
Q.2 (A) 1m (B) 2m (C) 3m (D) None of these
Q.3 (A) 4 m/s (B) 2 m/s (C) 6 m/s (D) 8 m/s
Q.4 (A) (B) (C) (D) [Q.5 has more than one correct option.] Q.5 A body starts from the origin and moves along the x-axis such that position at any instant
is given by , where t is in second and position is in m.
Choose the correct options"
(A) At t = 2 sec, the particle is at its local maximum position (B) At t = 1 sec, the particle is at its local minimum position (C) At t = 2 sec, the particle is at its local minimum position (D) At t = 1 sec, the particle is at its local maximum position |

Q.6 (A) (P) Initial acceleration of A is in +ve x direction. (B) (Q) Initial acceleration of A is zero. (C) A body A has position given by (R) Speed of A continously increases with time x = t
(D) (S) Speed of A decreases and then increases with time.
(T) Initial acceleration of A is in -ve x direction.
Q.7 A rocket rises vertically up from the surface of earth so that it's distance from the earth's surface is
Q.8 A body starts from origin and moves along x axis such that at any instant velocity is
v
Q.9 The x and y component of a particle in the
x-y plane at any instant are given by
x=at (A) (B) (C) (D)
Q.10 _{0}. At t = 0, the engine of the boat is
shut down. Magnitude of resistance force offered to the boat is equal to rV. (V is instantaneous speed).
What is the total distance covererd till it stops completely? [Hint : F(x) = mV = - rV] [3]
(A) mV |

Q.11 At t = 0, = 0 and ms (A) m (B) m (C) m (D) m
In physics, yank is the derivative of force with respect to time. Expressed as an equation, yank Y is : where F is force and is the derivative with respect to time t. Y = where m is mass and v is velocity. If the mass is not changing over time (i.e. it's constant), then :
which can also be written as : Y = mj where j is jerk.
Q.12 What are the units of yank ?
(i) kg • m/s (A) (i), (ii), (iii), (iv), (v) (B) (i), (ii) (C) (i), (iii) (D) (ii), (iv)
Q.13 The above parra defines jerk as
(A) Rate of change of velocity (B) Rate of change of acceleration (C) Rate of change of Yank (D) Rate of change of momentum
Q.14 If the force acting on a body is given by F = 100 - t (A) at the initial moment (t = 0) (B) at t = 10 sec (C) at t = 50 sec. (D) at t = 5 sec.
Q.15 A small squirrel is climbing on a straight vertical pole with a uniform speed of 0.75 m/s. A point
observer is located 10m away from base of pole. Find the rate (in cm/s) at which the length of line joining
observer and squirrel is changing at t = 10 s. The squirrel is initially (at t = 0) on ground.
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1 C 2 A 3 C 4 C 5 CD 6 (A) Q (B) RT (C) PS (D) ST 7 400 8 22 9 B 10 A 11 B 12 B 13 B 14 A 15 45 | |||||||

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