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A ball is thrown upwards with a speed of...

A ball is thrown upwards with a speed of 20m/s from the ground. Another ball is dropped from rest from a building 80m high at the same time
(i) Find the difference in their height after they have fallen for 2s?
(ii) If the balls are along the same line of motion, when will they colide?

Text Solution

AI Generated Solution

To solve the problem step by step, we will break it down into two parts as per the question. ### Part (i): Find the difference in their height after they have fallen for 2 seconds. 1. **Determine the height of the first ball (A) after 2 seconds:** - The ball is thrown upwards with an initial velocity \( u = 20 \, \text{m/s} \). - The acceleration due to gravity \( g = -9.8 \, \text{m/s}^2 \) (negative because it acts downwards). - We can use the second equation of motion: ...
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Knowledge Check

  • A ball is thrown upwards with a speed u from a height h above the ground.The time taken by the ball to hit the ground is

    A
    `sqrt2h//g`
    B
    `sqrt(8h//g`
    C
    `sqrt(u^(2)+2gh)/(g)`
    D
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    A
    `10`
    B
    `10-2 g t`
    C
    `sqrt(10^(2)-2gh)`
    D
    `10- g t`
  • A ball is thrown horizontally with a speed of 20 m//s from the top of a tower of height 100m velocity with which the ball strikes the ground is .

    A
    `20 sqrt6 m//s` at angle `tan ^(-10 (sqrt7)` below the horizontal
    B
    `20 sqrt6 m//s` at an angle `tan ^(-1) (sqrt6)` below the horizontal
    C
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    D
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