The position of a particle is given by r = 3.0ti^+2.0t^2j^+5.0k^ when 't' is in seconds and 'r' to be in meter.
a) Find v(t) & a(t) of the particle.
b) Find v(t) & t = 1.0sec

Hello Kalpitha.., dr/dt = v = 3.0 i^ + 4.0 t j^ 
And value of v when t = 1 is given as 3 i^ + 4 j^
Hence mod is ​√32 + 42 = √25 = 5 m/s
Differentiating once again we get acceleration
a = 4.0 j^

 

  • -5
v= 6t and a = 0 . The velocity at t= 1 seconds is 6m/s
  • -10
r = 3.0ti^ + 2.0t2j^ + 5.0k^
dr/dt = 3.0i^ + 4.0tj^ + 0
v(t) = 4.0m/s along y axis
a(t) = 0 , since there is no change in velocity.
v(t) at t=1.0 sec = 3.0i^ + 4.0(1)j^
v(1) = (3.0i^ + 4.0j^) m/s
 
  • 14
What are you looking for?