A ball is thrown vertically upward from the ground level and hits the ground after 4sec calculate the maximum height its reached during each journey
time up equals time down
h = 1/2 g t^2 = 1/2 * 9.81 * 2^2
GIVEN ME THE ANSWER.
To calculate the maximum height reached by the ball during each journey, we need to consider two things: the time it takes for the ball to reach its maximum height and the gravitational acceleration.
Let's break down the steps to determine the maximum height reached during each journey:
1. First, we need to find the time it takes for the ball to reach its maximum height. The ball is thrown upward and then falls back to the ground, so we can assume that half of the total time taken is spent going up, and the other half is spent falling down. Therefore, the time it takes for the ball to reach its maximum height is half of the total time taken, which is 4 seconds divided by 2, making it 2 seconds.
2. Next, we need to calculate the upward velocity of the ball at its maximum height. The velocity at any point during the journey can be calculated using the equation: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken. In this case, since the ball is thrown upward, its initial velocity is positive (upward), and we can assume the acceleration due to gravity is -9.8 m/s² (taking it as negative as it acts downward). Therefore, we can calculate the upward velocity at the maximum height by substituting the values into the equation: v = u + at, where u = initial velocity = 0, a = acceleration = -9.8 m/s², and t = time taken = 2 seconds. Thus, v = 0 + (-9.8) × 2 = -19.6 m/s.
3. Now, let's calculate the maximum height reached using the equation: s = ut + (1/2)at², where s is the displacement (height), u is the initial velocity, a is the acceleration, and t is the time taken. Plugging in the values, we get: s = 0 × 2 + (1/2) × (-9.8) × (2)² = 0 + (-4.9) × (4) = -19.6 meters.
Considering the ball starts from the ground level, the maximum height reached can be found by taking the absolute value of the displacement, which is | -19.6 | = 19.6 meters.
Therefore, the maximum height reached during each journey is 19.6 meters.