The position of a particle 𝑥 (in meters) at a time 𝑡 seconds is given by the relation 𝑟⃗ = (3𝑡𝑖̂− 𝑡2 𝑗̂+ 4𝑘̂). Calculate the magnitude of velocity of the particle after 5 seconds

Question : The position of a particle 𝑥 (in meters) at a time 𝑡 seconds is given by the relation 𝑟⃗ = (3𝑡𝑖̂− 𝑡2 𝑗̂+ 4𝑘̂). Calculate the magnitude of velocity of the particle after 5 seconds

(A) 3.55

(B) 5.03

(C) 8.75

(D) 10.44

Answer : option (D)

Solution :

The position of a particle 𝑥 (in meters) at a time 𝑡 seconds is given by the relation 𝑟⃗ = (3𝑡𝑖̂− 𝑡2 𝑗̂+ 4𝑘̂). Calculate the magnitude of velocity of the particle after 5 seconds
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