How do inertia and centripetal force combine to keep an object moving in circular motion?
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Explanation:
The time taken for the project lent reach the ground equals to the time it takes to covers the horizontal distance.
The time it takes to reach the ground from a height of 490 m is :
S = ut + 0.5gt²
g = 9.8
Doing the substitution:
490 = - 98t + 4.9t²
Multiplying through by 10 to get rid of the decimal we have :
49t² - 980t - 4900 = 0
Solving this using the quadratic formula :
t = {980 +/- √(980² + 4× 49 × 4900)} / 98
t = - 4.14 or 24.14
Since time is positive, we take 24.14 seconds
The horizontal distance covered by the projectile is thus :
The horizontal velocity is equivalent to the initial velocity of the projectile and it is constant.
24.14 × 98 = 2365.72m
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