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Solve the quadratic equation 3x^2 - 5x + 2 = 0 Calculate the velocity of an object that falls from a height of 50 meters, ignoring air resistance In Shakespeare's Romeo and Juliet, how do the themes of fate and conflict contribute to the tragedy of the story?
Calculate the velocity of an object that falls from a height of 50 ...
( g ) is the acceleration due to gravity (approximately ( 9.81 , \text{m/s}^2 )), ( h ) is the height (50 meters in this case). Since the object starts from rest, we have ( u = 0 ). Plugging in the values: [ v^2 = 0 + 2 \cdot 9.81 \cdot 50 ] Calculating the right-hand side: [ v^2 = 2 \cdot 9.81 \cdot 50 = 981 ] Now, take the square root to find ...