Question

A particle has initial (t = 0) velocity μ = 5 i ^ and is at origin at this instant. Its acceleration is given by ( 3 i ^ + 4 j ^ ) . When particle’s x co-ordinate is 16 units, then its speed is

Options :

  1. 13 units

  2. √161 units

  3. 12 units

  4. √185 units

Show Answer

Answer :

√185 units

Solution :

S = u t + 1 2 a t 2

16 = 5 t + 3 2 t 2

⇒ t = 2

v = u + a t = 11 i ^ + 8 j ^

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