# 1. An object is moving up an inclined plan. Its velocity changes from 15m/s to 10m/s in two seconds. What is its acceleration? (ans. -2.5m/s2) 2. A body covered a distance of x metre along a semicircular path. Calculate the magnitude of displacement of the body, and the ratio of distance to displacement? 3. A particle moving with an initial velocity of 5m/s is subjected to a uniform acceleration of -2.5m/s2. Find the displacement in the next 4 sec. (ans. 0) 4. Acar covers30km at a uniform speed of 30km/hr. what should be its speed for the next 90km if the average speed for the entire journey is 60km/h? (ans. 90km/hr) 5. A person goes to market, makes purchases and comes back at a constant slower speed. Draw displacement -time and velocity time graphs of the person? 6. A boy runs for 10 min. at a uniform speed of 9km/h. At what speed should he run for the next 20 min. so that the average speed comes 12km/hr? (ans.13.5km/h) 7. A particle was at rest from 9 a.m. It moved at a uniform speed 10km/hr from 9.30 a.m. to10 a.m. Find the average speed between (a) 9.00 a.m. and 10.00 a.m., (b) 9.15 a.m. and 10.00 a.m. (ans. 5km/h, 6.67km/h) 8. An insect moves along a circular path of radius 10 cm with constant speed. If it takes 1 min. to move from a point on the path to the diametrically opposite point, find (a) the distance covered, (b) The speed, (c) the displacement, (d) average velocity. 9. A particle with a velocity of 2m/s at t=0 moves along a straight line with a constant acceleration of 0.2m/s2. Find the displacement of the particle in 10s? 10. A particle is pushed along a horizontal surface in such a way that it starts with a velocity of 12m/s. Its velocity decreases at a uniform rate of 0.5m/s2. (a) Find the time it will take to come to rest. (b) Find the distance covered by it before coming to rest? 11. Atrainaccelerated from 20km/hr to 80km/hr in 4 minutes. How much distance does it cover in this period? Assume that the tracks are straight? 12. A cyclist moving on a circular track of radius 50m completes one revolution in 4 minutes. What is his (a) average speed (b) average velocity in one full revolution? 13. Define Scalar quantities and Vector quantities? 14. Define the term “uniform acceleration”. Give one example of a uniformly accelerated motion. 15. Define the term acceleration . Is it a vector quantity or a scalar quantity?

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