A plane travelling at 100 m/s accelerates at 5 m/s² for a distance of 125 m. What is the final velocity of the plane? Please give your answer to 3 significant figures
Question
A plane travelling at 100 m/s accelerates at 5 m/s² for a distance of 125 m. What is the final velocity of the plane? Please give your answer to 3 significant figures
Solution
To solve this problem, we can use the equation of motion: v² = u² + 2as, where:
v = final velocity u = initial velocity a = acceleration s = distance
Given in the problem: u = 100 m/s a = 5 m/s² s = 125 m
Substituting these values into the equation, we get:
v² = (100 m/s)² + 2 * 5 m/s² * 125 m v² = 10000 m²/s² + 1250 m²/s² v² = 11250 m²/s²
Taking the square root of both sides to solve for v, we get:
v = sqrt(11250 m²/s²) v = 106.066 m/s
Rounding to three significant figures, the final velocity of the plane is 106.1 m/s.
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