A particle initially moving at 4.0 m/s along the y-axis is uniformly accelerated at 3.0 m/s² along the x-axis for 2.0 s. The final speed of the particle is A) -2.0 m/s. B) 7.2 m/s. C) 6.0 m/s. D) 10 m/s. E) None of these is correct.

Question

Quizplus · Accepted Answer

The final speed of the particle is given by:$$v_f^2 = v_i^2 + 2ax$$where:* $v_f$ is the final speed* $v_i$ is the initial speed* $a$ is the acceleration* $x$ is the distance traveledIn this case, the particle is initially moving at 4.0 m/s along the y-axis, so $v_i = 4.0 \ m/s$. The particle is uniformly accelerated at 3.0 m/s² along the x-axis for 2.0 s, so $a = 3.0 \ m/s^2$ and $x = 2.0 \ m$. Substituting these values into the equation, we get:$$v_f^2 = (4.0 \ m/s)^2 + 2(3.0 \ m/s^2)(2.0 \ m) = 51.2 \ m^2/s^2$$Taking the square root of both sides, we get:$$v_f = 7.2 \ m/s$$Therefore, the final speed of the particle is 7.2 m/s.

A Particle Initially Moving at 4