A ball is thrown upwards with a speed of 25 m/s. How long will it take to reach

Practice Questions

Q1
A ball is thrown upwards with a speed of 25 m/s. How long will it take to reach the maximum height? (Assume g = 10 m/s²)
  1. 2.5 s
  2. 3 s
  3. 4 s
  4. 5 s

Questions & Step-by-Step Solutions

A ball is thrown upwards with a speed of 25 m/s. How long will it take to reach the maximum height? (Assume g = 10 m/s²)
  • Step 1: Understand that when a ball is thrown upwards, it will eventually stop rising and start falling back down. The point where it stops rising is called the maximum height.
  • Step 2: Know that the initial speed of the ball is 25 m/s. This is how fast the ball is going when it is thrown upwards.
  • Step 3: Recognize that gravity (g) pulls the ball downwards at a rate of 10 m/s². This means that for every second the ball goes up, it slows down by 10 m/s.
  • Step 4: To find out how long it takes to reach the maximum height, we can use the formula: Time to reach maximum height = initial velocity / g.
  • Step 5: Plug in the values: initial velocity = 25 m/s and g = 10 m/s². So, Time = 25 / 10.
  • Step 6: Calculate the time: 25 divided by 10 equals 2.5 seconds.
  • Step 7: Conclude that it will take 2.5 seconds for the ball to reach its maximum height.
  • Kinematics – The study of motion, specifically how objects move under the influence of forces.
  • Projectile Motion – The motion of an object thrown into the air, affected by gravity, which determines the time to reach maximum height.
  • Acceleration due to Gravity – The constant acceleration experienced by an object in free fall near the Earth's surface, typically approximated as 10 m/s².
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