Projectile Motion: Horizontal and Vertical Components

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Questions and Answers

In the context of relative motion, if vBA is the velocity of frame B relative to frame A, what does vBA = 0 imply?

  • Frame B is stationary with respect to frame A. (correct)
  • Frame A and Frame B have opposite velocities.
  • Frame A is stationary with respect to frame B.
  • Frame A and Frame B have equal velocities.

For a ball thrown vertically upwards with an initial velocity of 30 m/s, what is the maximum height it reaches?

  • $45$ m (correct)
  • $30$ m
  • $60$ m
  • $15$ m

In projectile motion, what is the equation for the range (R) of an object projected at an angle A to the horizontal?

  • $R = \frac{u}{g}\sin(A)$
  • $R = \frac{u}{g}\cos(A)$
  • $R = u \cdot g \cdot A$
  • $R = \frac{u^2}{g}\sin(2A)$ (correct)

For the position function x(t) = $2t^2 + 4t + 3$m, what does this function represent?

<p>The horizontal position of the projectile. (B)</p>
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What is the displacement of a train between t1 = 1.0 s and t2 = 3.0 s if its position function is x = 10 + 3t^2?

<p>$30$ m (D)</p>
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For an object in uniform circular motion, what is true about its acceleration?

<p>Acceleration is always directed towards the center of the circle. (A)</p>
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What does it mean when the velocity-time graph for an object is a horizontal line at zero velocity?

<p>The object has stopped moving momentarily. (A)</p>
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If a ball is thrown vertically upwards, what can be said about its velocity at the maximum height?

<p>Velocity is zero. (B)</p>
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What does the term vPB represent in the context of relative motion?

<p>The velocity of frame P relative to frame B. (D)</p>
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