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A ball is thrown from a roof top at angl...

A ball is thrown from a roof top at angle of ` 40^(@)`above the horizontal. It hits the ground a few seconds later. At what point during its motion. Does the ball have
(a) greatest speed (b) smallest speed (c ) greatest acceleration ? Explain.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the motion of the ball thrown from a rooftop at an angle of 40 degrees above the horizontal. We will determine the points at which the ball has the greatest speed, the smallest speed, and the greatest acceleration. ### Step 1: Understanding the Motion The ball follows a parabolic trajectory due to the influence of gravity. The motion can be divided into two components: horizontal and vertical. The initial velocity can be resolved into horizontal (u cos 40°) and vertical (u sin 40°) components. ### Step 2: Identifying the Points of Interest 1. **Point A**: The point where the ball is thrown. 2. **Point B**: The highest point of the trajectory. ...
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Knowledge Check

  • A ball is thrown from the top of a tower with an initial velocity of 10 m//s at an angle of 30^(@) above the horizontal. It hits the ground at a distance of 17.3 m from the base of the tower. The height of the tower (g=10m//s^(2)) will be

    A
    5 m
    B
    20 m
    C
    15 m
    D
    10 m
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