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Randomized multiple-choice question with dynamic drawing

A cannon ball with mass $m =1.6\rm\ kg$ is fired downward from a cliff at a height $h = 11.48\rm\ m$, at an angle $\theta = 27^o$ with respect to the horizontal, and an initial velocity $v_0 = 24 \rm\ m/s$, as illustrated in the figure below.

Suppose the ball hits the ground after $t = 0.78\rm\ s$. What is the distance from the base of the cliff that the ball hits the ground? Assume the acceleration due to gravity is $g=9.8 \rm\ m/s^2$.

(a)

$d = 16.68\rm\ m$

(b)

$d = 18.72\rm\ m$

(c)

$d = 8.499\rm\ m$

(d)

$d = 2.981\rm\ m$

(e)

$d = 19.661\rm\ m$

Correct answer

(a) $d = 16.68\rm\ m$

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QID:

gallery/multipleChoice/advanced

Title:

Randomized multiple-choice question with dynamic drawing

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Started at:

2026-08-04 20:43:28 (CDT)

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    "key": "a",
    "html": "$d = 16.68\\rm\\ m$",
    "score": 1,
    "feedback": null
  }
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