**Test**

Motion

**1.** Define the term displacement. Is it a vector quantity or a scalar quantity?

**2.** What is circular motion? Is circular motion an acceleration motion?

**3.** Derive mathematically the first equation of motion V=u + at?

**4.** A boy runs for 20 min. at a uniform speed of 18km/h. At what speed should he run for the next 40 min. so that the average speed comes 24km/hr.

**5.** A train accelerated from 10km/hr to 40km/hr in 2 minutes. How much distance does it cover in this period? Assume that the tracks are straight?

**6.** A train starts from rest and accelerate uniformly at the rate of 5 m/s^{2} for 5 sec. Calculate the velocity of train in 5 sec.

**7.** A bullet leaves a rifle with a muzzle velocity of 1042 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 1.680 m. Determine the acceleration of the bullet (assume a uniform acceleration)

**8.** A bike riding at 22.4 m/s skids to come to a halt in 2.55 s. Conclude the skidding distance of the bike.

**9.** A race scooter is seen accelerating uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the scooter and the distance travelled.

**10.** A car is travelling with a speed of 36 km/h. The driver applied the brakes and retards the car uniformly. The car is stopped in 5 sec. Find (i) The acceleration of car and (ii) Distance before it stops after Appling breaks?

**11.** Can displacement be zero? If yes, give two examples of such situations.

**12.** Prove that S=ut+1/2at^{2} graphically.