Question

A rocketry club is launching model rockets. The launching pad is 30 feet above the ground. Your model rocket has an initial vertical velocity of 105 feet per second. Your friend’s model rocket has an initial vertical velocity of 100 feet per second. Compare the graphs. After how many seconds is your rocket 119 feet above the ground? Round your answer to the nearest tenth. Explain the reasonableness of your answers.

Answer 1

The rocket will reach 119 feet above the ground in 50.85 seconds.

Given that a rocketry club is launching model rockets, and the launching pad is 30 feet above the ground, and your model rocket has an initial vertical velocity of 105 feet per second, to determine after how many seconds is your rocket 119 feet above the ground the following calculation must be performed:

• (119 - 30) / 105 = X
• 89/105 = X
• 0.847 = X  
• 1 = 60
• 0.847 = X
• 0.847 x 60 = X
• 50.85 = X

Therefore, the rocket will reach 119 feet above the ground in 50.85 seconds.

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