1. A train accelerates from rest at a constant rate α for distance x1 and time t1. After that it retards to rest at constant rate β for distance x2 and time t2.Which of the following relation is correct?
2. A train accelerates from the rest at a constant rate α for some times and then it retards to rest at the constant rate β. If the total distance covered by the particle is x, then what is the maximum velocity of the train .
3. An electron starting from rest has a velocity that increases linearly with time such that v=kt where k=2m/s2, then the distance traveled by electron in first three seconds is:
4. The displacement of particle after time t is given by x = (k/b2) (1-e-bt), where b and k are constants. What is the acceleration of the particle.
5. The distance covered by a particle moving on a straight line path at any instant is given by t =ax2 +bx. If the instantaneous velocity of the particle be ν. What is the acceleration of the particle.
6. A train starts from the rest and acquires a speed ν with uniform acceleration α. Then it comes to stop with uniform retardation β. What will be the average velocity of the train if the time takn is T ?
7. If a,b,c be the distances moved by the particle travelling with uniform acceleration during x’th , y’th ,z’th second of it’d motion respectively , then which of the following relation is correct?
8. The acceleration ‘a’ of a particle varies with time t as a = bt +c where b and c are constants. What will be the velocity of the particle which starts from rest after the time t.
9. The acceleration of the particle , starting from rest , varies with time according to the relation : a = -Aω2 sin ωt. The displacement of this particle at a time t will be
10. The velocity ν and displacement r of a body are related as : ν2 =kr where k is constant.What will be the velocity after 1 second. Given that the displacement is zero at t=0.