Question

A cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to have the cannonball travel a target distance of 400m. Based on this, will the cannonball reach the target distance?

a)

Yes, the cannonball will hit its goal


b)

No, the cannonball will overshoot its goal


c)

No, the cannonball will fall short of the goal


d)

More information is needed to determine the outcome

Answer 1

Answer: It will fall short of its goal.

Explanation: I took the quiz.

Answer 2

No, the cannon ball will fall short of the goal

The given parameters;

• height of the cliff, h = 100 m

• initial horizontal velocity, $v_0_x$ = 50 m/s

• target distance of the cannon, R = 400 m

The time taken for the cannon ball to fall from the given height;

$h = v_0_y t + \frac{1}{2} gt^2\\\\100 = 0 + 0.5\times 9.8 \times t^2\\\\100 = 4.9t^2\\\\t^2 = \frac{100}{4.9} \\\\t = \sqrt{20.41} \\\\t = 4.52 \ s$

The horizontal distance traveled by the cannon ball at this time is calculated as;

$X = v_0_x \times t\\\\X = 50 \times 4.52\\\\X = 226 \ m$

226 m is less than the target distance of 400 m.

Thus, we can conclude that the cannon ball will fall short of the goal.

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