1) A meteorologist models the height of a hot air balloon launched from the ground. The model assumes the balloon travels vertically upwards and travels 450 meters in the first minute. Due to the decrease in temperature as the balloon rises, the balloon will continually slow down. The model suggests that each minute the balloon will travel only 82% of the distance travelled in the previous minute. a) Find how high the balloon will travel in the first 10 minutes after it is launched. b) The balloon is required to reach a height of at least 2520 meters. Determine whether it will reach this height. c) Suggest a limitation of the given model.

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