A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 7.0 s later is x = −30 cm. What is the acceleration of the particle? A) −7.3 cm/s² B) −8.9 cm/s² C) −11 cm/s² D) −15 cm/s² E) −13 cm/s²

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Quizplus · Accepted Answer

The acceleration of the particle is constant, so we can use the following equation:v^2 = u^2 + 2aswhere:v is the final velocityu is the initial velocitya is the accelerations is the displacementWe know that the initial velocity is 20 cm/s, the final velocity is 0 cm/s (since the particle is at rest at the end of its motion), and the displacement is -30 cm - 10 cm = -40 cm. Substituting these values into the equation, we get:0^2 = 20^2 + 2a(-40)Solving for a, we get:a = -200 / 80 = -2.5 cm/s^2Therefore, the acceleration of the particle is -2.5 cm/s^2.

A Particle Moving with a Constant Acceleration Has a Velocity