The position of a particle 𝑥 (in meter) at a time 𝑡 second is given by the relation 𝑟 = (3𝑡𝐢̂− 𝑡 2 𝐣̂+ 4𝐤̂ ). Calculate the magnitude of velocity of the particle after 5 s.

April 14, 2022

by Ezee_Notes

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Physics Problems

Question : The position of a particle 𝑥 (in meter) at a time 𝑡 second is given by the relation 𝑟 = (3𝑡𝐢̂− 𝑡 2 𝐣̂+ 4𝐤̂ ). Calculate the magnitude of velocity of the particle after 5 s.

(A) 3.55 m/s

(B) 5.03 m/s

(D) 10.44 m/s

Answer : option (D)

Solution :

The position of a particle 𝑥 (in meter) at a time 𝑡 second is given by the relation 𝑟 = (3𝑡𝐢̂− 𝑡 2 𝐣̂+ 4𝐤̂ ). Calculate the magnitude of velocity of the particle after 5 s.