A cricket ball is thrown up. It reaches a height of 10 m from the point of throw and then reaches back to the point of throw. Find the distance and displacement of the ball.
Answers
Explanation:
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Given that:
⋆ There is a cricket ball.
⋆ A cricket ball is thrown up.
⋆ The cricket ball reaches a height of 10 m from the point of throw.
⋆ Afterthat the cricket ball, reaches back to the point of throw.
To find:
⋆ The distance of the ball.
⋆ The displacement of the ball.
Solution:
⋆ The distance of the ball = 20 metres
⋆ The displacement of the ball = 0
Full Solution:
~ Let us find the distance of the ball first! As it's given that,
⋆ The cricket ball reaches a height of 10 m from the point of throw.
⋆ Afterthat the cricket ball, reaches back to the point of throw. Means also it be back at 10 metres
Henceforth,
»» Distance = The cricket ball reach height from the point of throw + The cricket ball, reaches back to the point of throw.
»» Distance = 10 metres + 10 metres
»» Distance = 20 metres
Henceforth, 20 metres is the distance of the given cricket ball.
~ Now finding displacement. As it's given that
⋆ The cricket ball reaches a height of 10 m from the point of throw.
⋆ Afterthat the cricket ball, reaches back to the point of throw. Means also it be back at 10 metres.
Henceforth, we get that the ball doesn't stop at any point, it came back. Henceforth,
»» Displacement = 0
Henceforth, displacement of the cricket ball is 0.
Distance = It is the length of actual path covered by a moving object in a given time interval.
Displacement = Shortest distance covered by a body in a definite direction is called displacement.
→ Displacement may be positive, negative or zero whereas distance is always positive.
→ Distance is a scaler quantity whereas displacement is a vector quantity both having the same unit.
→ In general magnitude of displacement ≤ Distance.
★ Speed = Distance travelled by a moving object in unit time interval is called speed i.e., speed distance/time. It's scaler quantity and it's SI unit is metre/second
★ Velocity = Velocity of moving object is defined as the displacement of the object in unit time interval i.e., velocity = displacement/time. It's vector quantity and it's SI unit is metre/second.
★ Acceleration = Acceleration of an object is defined as the rate of change of velocity of the object i.e., acceleration = change in velocity/Time. It's vector quantity and SI unit is m/s²
★ If Velocity decreases with time then acceleration is negative and known to be retardation.