The 𝑥 and 𝑦 coordinates of a particles at any time 𝑡 are given by 𝑥 = 7𝑡 + 4𝑡2 and 𝑦 = 5𝑡, where 𝑥 and 𝑦 are in meter and 𝑡 in second. The acceleration of particle at 𝑡 = 5s is

April 14, 2022

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Physics Problems

Question : The 𝑥 and 𝑦 coordinates of a particles at any time 𝑡 are given by 𝑥 = 7𝑡 + 4𝑡2 and 𝑦 = 5𝑡, where 𝑥 and 𝑦 are in meter and 𝑡 in second. The acceleration of particle at 𝑡 = 5s is

(A) zero

(B) $8ms^{-2}$

(D) $40ms^{-2}$

Answer : option (B)

Solution :

The 𝑥 and 𝑦 coordinates of a particles at any time 𝑡 are given by 𝑥 = 7𝑡 + 4𝑡2 and 𝑦 = 5𝑡, where 𝑥 and 𝑦 are in meter and 𝑡 in second. The acceleration of particle at 𝑡 = 5s is