Harry Styles fires a T-shirt cannon horizontally off a stage 10 meters high, with an initial velocity in the x-direction of 5 meters per second. How far away from the
stage should you stand to be able to catch the t-shirt?

7.15 m

Explanation:

From the question given above, the following data were obtained:

Height (h) = 10 m

Initial velocity (u) = 5 m/s

Horizontal distance (s) =?

Next, we shall determine the time taken for the shirt to get to the ground. This can be obtained as follow:

Height (h) = 10 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

h= ½gt²

10 = ½ × 9.8 × t²

10 = 4.9 × t²

Divide both side by 4.9

t² = 10 / 4.9

t² = 2.04

Take the square root of both side

t = √2.04

t = 1.43 s

Finally, we shall determine the horizontal distance travelled by the shirt. This can be obtained as follow:

Initial velocity (u) = 5 m/s

Time (t) = 1.43 s

Horizontal distance (s) =?

s = ut

s = 5 × 1.43

s = 7.15 m

Thus, the shirt will land at 7.15 m away from the stage. Thus, to catch the shirt, you must be at a point 7.15 m away from the stage.

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