(B) 051
(C) 10 .
(D) \( 2 \mathrm{gr} \) I
(ii) \( \{ \) r.
A 2 radians \( \cdot x^{-1} \)
(B) 4 radians \( \cdot s^{4} \)
(C) 8 radians \( 3^{-1} \)
(D) 16 radians * \( s^{-1} \)
(B) 32 fathime \( * i^{+} \)
14. Walter is watring windows on a large buitdine He starts by washing the window on the fth floor. He then mover down to the Ind floor, then up to the 6th floor, then down to the 5th floor, then down to the 2nd floor, and finally he (A) 5 floors lat floor window. What is his totial dieplacement?
(A) 5 flours
(B) 3 floorn upwayd
(C) 3 floors downward
(D) 9 floors dowmward
(E) 9 floor:
15. A bullet is fired horizontally with speed \( v \) from a rifle. For a short time \( f \) after leaving the rifle, the only fored affectifnl its movien is gravity. The acceleration of free fall is \( \mathrm{g} \). Which expression gives the value of the ratio the hartiperfal distance travelled in timet
(A) \( \frac{v t}{g} \)
(B) \( \frac{v}{g t} \)
(C) \( \frac{2 v t}{g} \)
(D) \( \frac{2 v}{g t} \)
(E) \( \frac{v}{3 g \mathrm{f}} \)
16. Angular velocity of sccond hand of clock is \( 0.105 \mathrm{rad} \mathrm{s}^{-1} \) and length of hand is \( 1.8 \mathrm{~cm} \), then ipeed of tip of hand is (A) \( 0.189 \mathrm{cms}^{-1} \)
(B) \( 1.000 \mathrm{cms}^{-1} \)
(C) \( 0.189 \mathrm{~ms}^{-1} \)
(D) \( 2.000 \mathrm{~ms}^{4} \)
(E) \( 1.000 \mathrm{~cm} \mathrm{n}^{\prime} \)
A block of mnss \( 3 \mathrm{~kg} \), initially at rest, is pulled along a frictionless, horizontal surface with a force shown as a function of time \( r \) by the graph above. Use it to answer questions 17 and 18 below.
17. The acceleration of the block at \( t=2 \mathrm{~s} \) is
(A) \( 3 / 4 \mathrm{~m} / \mathrm{s}^{2} \)
(B) \( 4 / 3 \mathrm{~m} / \mathrm{s}^{2} \)
(C) \( 2 \mathrm{~m} / \mathrm{s}^{2} \)
(D) \( 8 \mathrm{~m} / \mathrm{s}^{3} \)
(B) \( 12 \mathrm{~m} / \mathrm{s}^{3} \)
18. The speed of the block at \( t=2 \mathrm{~s} \) is
(A)) \( 4 / 3 \mathrm{~m} / \mathrm{s} \)
(B) \( 8 / 3 \mathrm{~m} / \mathrm{s} \)
(C) \( 4 \mathrm{~m} / \mathrm{s} \)
(D) \( 8 \mathrm{~m} / \mathrm{s} \)
(E) \( 24 \mathrm{~m} / \mathrm{s} \)
19. The following pair of physieal quantities have the same SI units except.
(A) Torque and Work
(B) Spring constant and Moment of a foree
(C) Pressure and atress
(D) Electromotive force and electric potential difference
(E) None of the above
20. The position of a particle moving along \( x \)-axis is given by \( x(t)=\left(2 t^{3}+6 t+5\right) \mathrm{m} \), where \( x \) is in meter and \( t \) is in seconds. Find the acceleration of the particle at \( t=2.0 \mathrm{~s} \).
(A) \( 24,0 \mathrm{~m} / \mathrm{s}^{2} \)
(B) \( 18.0 \mathrm{~m} / \mathrm{s}^{2} \)
(C) \( 12.0 \mathrm{~m} / \mathrm{s}^{2} \)
(D) \( 6.0 \mathrm{~m} / \mathrm{s}^{2} \)
(E) \( 3.0 \mathrm{~m} / \mathrm{s}^{2} \)
Two pucks moving on a frictionless air table ane about to collide, as shown, The \( 1.5 \mathrm{~kg} \) puck is moving directly cast at \( 2.0 \mathrm{~m} / \mathrm{s} \). The \( 4.0 \mathrm{~kg} \) puck is moving directly north at \( 1.0 \mathrm{~m} / \mathrm{s} \). Use it to answer questions 21 and 22 below.
\( \mathrm{C}_{1.3 \mathrm{ks}}^{20 \mathrm{~m}} \)
21. What is the total kinetic energy of the two-puck system betore the collision?
(A) \( 13 \mathrm{~s} \)
(B) \( 5.0 \mathrm{~J} \)
(C) 7.0 I
(D) \( 16 \mathrm{~J} \)
(E) \( 11 \mathrm{~J} \)
