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Question: A cannon shoots a 200Kg cannonball straight up into the air. The cannonball leaves the cannon at 25m/s. How high will the cannonball travel?
The height of the cannonball can be calculated using the formula for the maximum height in a projectile motion which is given by h = (v^2) / (2 * g), where: - v is the initial velocity of the projectile - g is the acceleration due to gravity (on Earth, usually around 9.8 m/s^2). So, if you plug in the given values into the formula: h = (25 m/s)^2 / (2 * 9.8 m/s^2) h = 625 m^2/s^2 / 19.6 m/s^2 h = 31.88 meters So, the cannonball will reach a maximum height of approximately 31.88 meters. Remember that this is an idealized calculation; in real life, air resistance and other factors could cause the actual height to be somewhat less.
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