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How high would a ball go if it is thrown vertically upward and returns to launching position after 8 seconds?*1 pointA. 7.84 mB. 31.36 mC..78.4 mD. 313.6 m

Question

How high would a ball go if it is thrown vertically upward and returns to launching position after 8 seconds?*1 pointA. 7.84 mB. 31.36 mC..78.4 mD. 313.6 m

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Solution

To solve this problem, we need to use the physics formula for the height of an object under the influence of gravity, which is given by:

h = vt - 0.5g*t^2

where:

  • h is the height,
  • v is the initial velocity,
  • t is the time, and
  • g is the acceleration due to gravity.

Given that the ball returns to its launching position after 8 seconds, we know that the total time for the journey up and down is 8 seconds. Therefore, the time it takes for the ball to reach its highest point is half of this, which is 4 seconds.

We also know that the acceleration due to gravity is approximately 9.8 m/s^2.

Substituting these values into the formula, we get:

h = v4 - 0.59.8*4^2

We also know that at the highest point, the velocity of the ball is 0 (because it stops for an instant before falling back down). Therefore, we can set v = 0 and simplify the equation to:

h = 0 - 0.59.84^2 h = - 0.59.816 h = - 78.4

However, height cannot be negative, so we take the absolute value to get:

h = 78.4 m

Therefore, the ball would go 78.4 meters high. So, the correct answer is C. 78.4 m.

This problem has been solved

Similar Questions

All are come togetherball is projected from the ground level in vertically upward direction with an initial velocity u. The ball goes up to a maximum height ( EMG ) and then starts moving downward. Finally the ball falls back on the ground. It is given that motion of the ball under the action of gravity alone( IFYS ) and effect of air resistance, if any, is negligible. What is the value of maximum height up to which the ball goes ? (ONT ) What time does the ball take to reach the highest point during its motion ?​​

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