The position coordinates of a particle moving in 𝑋 − 𝑌 as a function of time 𝑡 are 𝑥 = 2𝑡 2 + 6𝑡 + 25 𝑦 = 𝑡 2 + 2𝑡 + 1 The speed of the object at 𝑡 = 10 s is approximately

Question : The position coordinates of a particle moving in 𝑋 − 𝑌 as a function of time 𝑡 are 𝑥 = 2𝑡 2 + 6𝑡 + 25
𝑦 = 𝑡2 + 2𝑡 + 1
The speed of the object at 𝑡 = 10 s is approximately

(A) 31

(B) 51

(C) 71

(D) 81

Answer : option (B)

Solution :

The position coordinates of a particle moving in 𝑋 − 𝑌 as a function of time 𝑡 are 𝑥 = 2𝑡 2 + 6𝑡 + 25
𝑦 = 𝑡2 + 2𝑡 + 1
The speed of the object at 𝑡 = 10 s is approximately
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