68 69 70 71 72 73 74 Find the acceleration of a car at t 2s given distance m is defined by S 3t 9t 18 A 24 m s 75 B 24 m s C 36 m s D 18 m s time t of the particle will be equal to zero where t is equal to The position x of a particle varies with time t as x at bt The acceleration at 2a A 76 77 3b C D zero 3b A particle moves along the x axis in such a way that its position coordinate x varies with time t according to the expression x 2 5t 6t Its initial velocity is A 3 ms B 5 ms C 2 ms D 3 ms x 4 sec 0 de A 0 Stane de A log tan 0 B log sec 0 C log cos 0 D log sin 8 The acceleration a in ms2 of a particle is given by a 3t 2t 2 where t is the time If the particle starts out with a velocity v 2 ms at t 0 then find the velocity at the end of 2 s A 36 m s B 1 C t 6t 2 t 3t 2t PARAGRAPH TYPE QUESTIONS C 1 D B 20m s C 18m s D 25m s The acceleration of a particle varies with time t seconds according to the relation a 6t 6 ms 2 Find velocity and position as functions of time It is given that the particle starts from origin at t 0 with velocity 2 ms A 3t 6t 2 t 3t 2t B 31 6t 2 t 3t 2t D 3t 6t 2 t 3t t Paragraph 1 Q No 75 to 77 The position of a body moving along a straight line is given by X 16 t 6t where X is in metre and t in second Find the position of the body at t 1s A 5m B 10 m Find the velocity of the object at any time t A V 16t 12 t 2 B V 16 121 C V 16 12 t Find the acceleration of the body at any time t A 6m s B 2 m s C 10 m s 2 C 15m D 20m D V 12 t D 12 m s 1