1. A particle moving in a straight line with uniform acceleration has a velocity 10 cm/sec and 8 seconds later has a velocity 54 cm/sec. What will be the value of space described?

2. A particle moving in a straight line with uniform acceleration has a velocity 10 cm/sec and 8 seconds later has a velocity 54 cm/sec. What will be the described by the particle during the 10^th second of its motion?

3. One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec² and B runs with a uniform velocity of 9 m/sec, is it possible for B to overtake A?

4. Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min². Before they meet again, when will their distance be maximum?

5. One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec², then what will happen if B runs at a uniform velocity of 11 m/sec?

6. A particle moving in a straight line with uniform retardation described 7cm in 5th second and after some time comes to rest. If the particle describes 1/64 part of the total path during the last second of its motion, for how long was the particle in motion?

7. If a, b, c be the space described in the pth, qth and rth seconds by a particle with a given velocity and moving with uniform acceleration in a straight line then what is the value of a(q – r) + b(r – p) + c(p – q)?

8. A point starts with the velocity 10 cm/sec and moves along a straight line with uniform acceleration 5cm/sec². How much time it takes to describe 80 cm?

9. A particle moving in a straight line with uniform retardation described 7cm in 5th second and after some time comes to rest. If the particle describes 1/64 part of the total path during the last second of its motion, for how long was the particle in motion?

10. Two motor cars on the same line approach each other with velocities u₁ and u₂ respectively. When each is seen from the other, the distance between them is x. If f₁ and f₂ to be the maximum retardation of the two cars then a collision can be just avoided then at which condition collision can just be avoided?

11. One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec² and B runs at a uniform velocity of 11 m/sec then when will they meet?

12. A particle moving along a straight line with uniform acceleration, passes successively through three points A, B, C. If t₁ = time taken to go from A to B; t₂ = time taken to go from B to C and AB = a, BC = b. If a = b and the velocities of the particle at A, B, C be p, q, r respectively, then, what is the relation between p², q² and r²?

13. An express train is running behind a goods train on the same line and in the same direction, their velocities being u₁ and u₂ (u₁ > u₂) respectively. When there is a distance x between them, each is seen from the other. At which point it is just possible to avoid a collision f₁ is the greatest retardation and f₂ is the greatest acceleration which can be produced in the two trains respectively?

14. A particle moving in a straight line with uniform acceleration has a velocity 10 cm/sec and 8 seconds later has a velocity 54 cm/sec. What will be the acceleration?

15. A motor car travelling at the rate of 40 km/hr is stopped by its brakes in 4 seconds. How long will it go from the point at which the brakes are first applied?

16. A particle moving along a straight line with uniform acceleration, passes successively through three points A, B, C. If t₁ = time taken to go from A to B; t₂ = time taken to go from B to C and AB = a, BC = b, then what is the value of acceleration?

17. Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min². Before they meet again, then what will be the maximum distance?

18. One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec², B runs at a uniform velocity of 11 m/sec how many times will they meet?

19. A bullet fired into a target loses half of its velocity after penetrating 2.5 cm. How much further will it penetrate?