Final answer:
The velocity of the coin when it hits the ground is approximately 47.12 m/s, and it takes approximately 4.7 seconds for the coin to fall to the ground.
Step-by-step explanation:
To calculate the velocity of the coin when it hits the ground, we can use the equation of motion for free fall: V^2 = U^2 + 2as. Here, U is the initial velocity (0 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and s is the height of the ride (110 m). Plugging in these values we get V^2 = 0^2 + 2(-9.8)(110). Taking the square root of both sides, we find that the velocity is approximately 47.12 m/s.
To calculate the time it takes for the coin to fall to the ground, we can use the equation of motion: s = ut + (1/2)at^2. Here, s is the height of the ride (110 m), u is the initial velocity (0 m/s), and a is the acceleration due to gravity (-9.8 m/s^2). Plugging in these values we get 110 = 0*t + (1/2)(-9.8)t^2. Simplifying, we have 4.9t^2 = 110. Dividing both sides by 4.9, we find that t^2 is approximately 22.45. Taking the square root of both sides, we find that the time it takes for the coin to fall is approximately 4.7 seconds.