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A ball is thrown vertically upwards with...

A ball is thrown vertically upwards with a speed of 9.8 m/s from the ground. Draw the x-t, v-t and a-t graph for its motion.

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To solve the problem of a ball thrown vertically upwards with a speed of 9.8 m/s from the ground, we will analyze its motion and draw the x-t, v-t, and a-t graphs. ### Step 1: Understand the motion When the ball is thrown upwards, it will rise until it reaches its maximum height, at which point its velocity will be zero. After that, it will fall back down to the ground. The acceleration acting on the ball is due to gravity, which is approximately -9.8 m/s² (negative because it acts downwards). ### Step 2: Calculate the time to reach maximum height Using the equation of motion: \[ v = u + at \] ...
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Knowledge Check

  • A ball is thrown vertically upwards with a speed of 10 m//s from the top of a tower 200 m height and another is thrown vertically downwards with the same speed simultaneously. The time difference between them on reaching the ground is (g=10 m//s^(2))

    A
    12 s
    B
    6 s
    C
    2 s
    D
    1 s

  • A ball is thrown vertically upwards with a speed 70m/s. The distance travelled by theball in its seventh second of motion will be [g=10m//s^(2)]

    A
    10m
    B
    2.1m
    C
    3.4
    D
    5m

  • A ball is thrown vertically upward with speed 10 m//s and it returns to the ground with speed 8 m//s . A constant air resistance acts. The minimum height attained by the ball is

    A
    `5 m`
    B
    `4.5 m`
    C
    `3.5 m`
    D
    `4.1 m`

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    Two balls are thrown simultaneously, A vertically upwards with a speed of 20 m/s from the ground, and B vertically downwards from a height of 40 m with the same speed along the same line of motion. At what point do the two balls collide? Take g = 9.8 m//s^(2) .

    A ball is thrown vertically upward with a speed of 20 m/s. Draw a graph showing the velocity of the ball as a function of thime as it goes up and then comes back.

    (a) A ball is thrown vertically upward with speed 10 m//s and it returns to the ground with speed 8 m//s . Find the maximum height attained by the ball. (b) A ball is thrown vertically upward and if air resistance is half of weight of the ball, find the ratio of time of ascent and time of descent. (C) Two balls A and B (m_(A) = 2 m_(B) = 2 m) are thrown vertically upward. If air resistance is mg//2 , find ratio of maximum height attained by them.

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    If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

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