A particle is moving along the axis with its coordinate with time given by . Another particle is…

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A particle is moving along the  axis with its coordinate with time  given by  . Another particle is moving along the  -axis with its coordinate as a function of time given by  . At  , the speed of the second particle as measured in the frame of the first particle is given as  . Then  (in  is

CGP EDU Academic Team · Accepted Answer

The correct answer is A. Step 1: First, find the velocity functions of both particles by differentiating their position functions with respect to time. For the first particle: x(t) = 10 + 8t - 3t^2Thus, v1(t) = dx/dt = 8 - 6tFor the second particle: y(t) = 5 - 8t^3Thus, v2(t) = dy/dt = -24t^2 Step 2: Substitute t = 1s into both velocity functions: v1(1) = 8 - 6(1) = 2 m/sv2(1) = -24(1)^2 = -24 m/s Step 3: The relative speed of the second particle as measured in the frame of the first particle is given by v = v2 - v1. Therefore: v = -24 - 2 = -26 m/s Concluding that the speed of the second particle in the frame of the first particle at t = 1s is -26 m/s.

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