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A particle moves along the \( x \)-axis with a position given by the equation \( x(t)=5+3 t \), where \( x \) is in metres, and \( t \) is in seconds. The positive direction is east. Which of the following statements about the particle is false ? (a) The particle is east of the origin at \( t=0 \) (b) The particle is at rest at \( t=0 \) (c) The particle's velocity is constant (d) The particle's acceleration is constant |
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Answer» Correct option is (B) The particle is at rest t = 0 Given position vector is: x = 5 + 3t Hence, at t = 0,x = 5 m i.e., particle is east of origin. Option A is correct. Comparing with second equation of motion, s = ut + 1/2 at2 u = 3 m/s Option B is false a = 0 Thus, option D is true. Hence, particle's velocity is constant. Option C is true. |
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