The equation of motion of a particle is s=a t^2+b t+c . If the displacement after 1 second is 20 m , velocity after 2 seconds is 30 ~m / sec and the acceleration is 10 ~m / sec ^2 , then

Step-by-step solution

s=a t^2+b t+c Displacement after 1 second is 20 m . 20=a+b+c...(i) Velocity = v = ds dt =2 at + b Velocity after 2 seconds is 30 ~m / sec 30=4 a+b...(ii) Acceleration = dv dt =2 a Acceleration is 10 ~m / sec ^2 10=2 a a=5 From (ii), we get b=10 From (i), we get c =5 a+c=b