Question

While standing on a balcony a child drops a penny. The penny lands on the ground floor 1.5 s later. How fast was the penny traveling vertically when it struck the ground floor?

*The height of the balcony is 11.025 meters

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Answer 1

14.7 m/s.

Step-by-step explanation:

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

Time (t) = 1.5 s

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

Height = 11.025 m

Final velocity (v) = 0 m/s

Initial velocity (u) =?

We, can obtain the initial velocity of the penny as follow:

H = ½(v + u) t

11.025 = ½ (0 + u) × 1.5

11.025 = ½ × u × 1.5

11.025 = u × 0.75

Divide both side by 0.75

u = 11.025/0.75

u = 14.7 m/s

Therefore, the penny was travelling at 14.7 m/s before hitting the ground.