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A ball is thrown vertically upward with speed 35 m/s . Find the displacement and distance covered by the ball in 4th second of motion.
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A ball is thrown vertically upward with speed 35 m/s . Find the displa...
Initial Parameters:

  • Initial velocity, u = 35 m/s (upward)

  • Acceleration due to gravity, g = 9.8 m/s² (downward)

  • Time, t = 4 seconds



Displacement:

  • Displacement refers to the distance between the initial and final position of an object.

  • When a ball is thrown vertically upward, it reaches its maximum height and then falls back to the ground.

  • At the highest point, the velocity of the ball becomes zero.

  • Thus, the displacement of the ball in the 4th second can be calculated as:



s = ut + 0.5gt²
s = 35×4 - 0.5×9.8×4²
s = 140 - 78.4
s = 61.6 m (upward)

Distance:

  • Distance refers to the total length of the path covered by an object.

  • When a ball is thrown vertically upward, it covers a certain distance while going up and the same distance while coming down.

  • Thus, the total distance covered by the ball in the 4th second can be calculated as:



Distance = Distance up + Distance down
Distance up = ut + 0.5gt²
Distance up = 35×4 - 0.5×9.8×4²
Distance up = 61.6 m (upward)

Using the same formula for the downward motion,

Distance down = ut + 0.5gt²
Distance down = 0 + 0.5×9.8×4²
Distance down = 78.4 m (downward)

Thus, the total distance covered by the ball in the 4th second is:

Distance = Distance up + Distance down
Distance = 61.6 + 78.4
Distance = 140 m

Explanation:

  • The given problem involves the calculation of displacement and distance covered by a ball thrown vertically upward with an initial velocity of 35 m/s in the 4th second of motion.

  • The formula for displacement and distance covered by a freely falling object can be used to solve the problem.

  • The displacement of the ball can be calculated using the formula s = ut + 0.5gt², where s is the displacement, u is the initial velocity, g is the acceleration due to gravity and t is the time.

  • The total distance covered by the ball can be calculated by adding the distance covered during the upward and downward motion of the ball.

  • During the upward motion, the ball slows down due to the force of gravity, reaches its maximum height, and then starts falling back to the ground.

  • At the highest point, the velocity of the ball becomes zero, and the displacement is equal to the maximum height reached by the ball.

  • During the downward motion, the ball accelerates due to the force of gravity and covers the same distance as it covered during the upward motion.

Community Answer
A ball is thrown vertically upward with speed 35 m/s . Find the displa...
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A ball is thrown vertically upward with speed 35 m/s . Find the displacement and distance covered by the ball in 4th second of motion.
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