We have the following equation for height: h (t) = (1/2) * (a) * t ^ 2 + vo * t + h0 Where, a: acceleration vo: initial speed h0: initial height. The value of the acceleration is: a = -g = -9.8 m / s ^ 2 For t = 0 we have: h (0) = (1/2) * (a) * 0 ^ 2 + vo * 0 + h0 h (0) = h0 h0 = 0 (reference system equal to zero when the ball is hit). For t = 5.8 we have: h (5.8) = (1/2) * (- 9.8) * (5.8) ^ 2 + vo * (5.8) + 0 (1/2) * (- 9.8) * (5.8) ^ 2 + vo * (5.8) + 0 = 0 vo = (1/2) * (9.8) * (5.8) vo = 28.42 Substituting values we have: h (t) = (1/2) * (a) * t ^ 2 + vo * t + h0 h (t) = (1/2) * (- 9.8) * t ^ 2 + 28.42 * t + 0 Rewriting: h (t) = -4.9 * t ^ 2 + 28.42 * t The maximum height occurs when: h '(t) = -9.8 * t + 28.42 -9.8 * t + 28.42 = 0 t = 28.42 / 9.8 t = 2.9 seconds. Answer: The ball was at maximum elevation when: t = 2.9 seconds.
Vertical Displacement is zero because the initial and final height above the ground is same.
Total time of flight is = 5.8 s
The time taken by ball to reach the maximum elevation is same as the time to fall back the same height. The time at which the ball was at maximum elevation is half the time of flight.
Thus, the time at which the ball was at maximum elevation =
To find work, you use the equation: W = Force X Distance X Cos (0 degrees) Following the Law of Conservation of Energy, energy cannot be destroyed nor created.
So you would do 75 N x 10m x Cos (0 degrees)= 750 J
Explanation: Erosion happens when water goes against a rock and breaks it down little by little so these mountains may have once been above water but became eroded. Also, people might’ve added so much pollution into the ocean that the water level rose or there was an increase in the population of large animals. Sorry for my very long answer lol
