**11.**

Here is a cube made from twelve wire each of length l. An ant goes from A to G through path A-B-C-G. Calculate the displacement.

**12.**

As shown in the figure particle P moves from A to B and particle Q moves from C to D. Desplacements for P and Q are x and y respectivey then

**13.**

Shape of the graph of position \(\rightarrow \) time given in the figure for a body shows that

**A.** The body moves with constant acceleration

**B.** The body moves with zero velocity

**C.** The body returns back towards the origin

**D.** Nothing can be said

**Answer :** Option C

**14.**

The graph of position \(\rightarrow \) time shown in the figure for a particle is not possible because

**A.** Velocity can not have two values on one time

**B.** Displacement can not have two values at one time

**C.** Acceleration can not have two values at one time

**D.** A, B and C are true

**Answer :** Option D

**15.**

An ant goes from P to Q on a circular path in 20 second Radius OP = 10m. What is the average speed and average velocity of it ?

**A.** \(\frac{\pi }{6}ms^{-1},\ 3ms^{-1}\)

**B.** \(\frac{\pi }{3}ms^{-1},\ \frac{\sqrt{3}}{2}ms^{-1}\)

**C.** \(\frac{\pi }{3}ms^{-1},\ \sqrt{3}ms^{-1}\)

**D.** \(\pi ms^{-1},\ \sqrt{6}ms^{-1}\)

**Answer :** Option B

**16.** A particle is thrown in upward direction with initial velocity of 60 m/s. Find average speed and average velocity after 10 seconds. [\(g=10\ ms^{-2}\)]

**A.** 26 m/s, 16 m/s

**B.** 26 m/s, 10 m/s

**C.** 20 m/s, 10 m/s

**D.** 15 m/s, 25 m/s

**Answer :** Option B

**17.** The ratio of path length and the respective time interval is

**A.** Mean Velocity

**B.** Mean Speed

**C.** Instantaneous Velocity

**D.** Instantaneous Speed

**Answer :** Option B

**18.** A car moving over a straight path covers a distance x with constant speed 10 m/s and then the same distance with constant speed of \(V_{2}\). If average speed of the car is 16 m/s, then \(V_{2}\) = ?

**A.** 30 m/s

**B.** 20 m/s

**C.** 40 m/s

**D.** 25 m/s

**Answer :** Option C

**Explanation :**

Average speed \(=\frac{2V_{1}V_{2}}{V_{1}+V_{2}}\)

**19.** A bus travels between two points A ans B. \(v_{1}\) and \(v_{2}\) are it's average speed and average velocity then

**A.** \(v_{1} > v_{2}\)

**B.** \(v_{1} < v_{2}\)

**C.** \(v_{1} = v_{2}\)

**D.** Depends on situation

**Answer :** Option D

**20.** A car covers one third part of its straight path with speed \(v_{1}\) and the rest with speed \(v_{2}\). What is its average speed ?

**A.** \(\frac{3v_{1}v_{2}}{2v_{1}+v_{2}}\)

**B.** \(\frac{2v_{1}v_{2}}{3v_{1}+v_{2}}\)

**C.** \(\frac{3v_{1}v_{2}}{v_{1}+2v_{2}}\)

**D.** \(\frac{3v_{1}v_{2}}{2v_{1}+2v_{2}}\)

**Answer :** Option A