Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

a girl standing on a bridge throws a stone vertically upwards at 6 ms⁻1. it hits the water below the bridge after 2 seconds. find the speed at which the stone hits the water and the initial height of the stone

Sagot :

mickymike92

The speed at which the stone hits the water is 13.6m/s and the initial height of the stone is 7.6m.

Speed of stone as it hits the water

Initial velocity of stone =  6 ms⁻¹

At the maximum height, the final velocity, v = 0

Acceleration of the stone, g = 9.8 ms⁻²

Time taken to reach maximum height = t₁

  • Using, v = u + gt₁

t₁ = v - u/g

since the stone is travelling upwards, g = -9.8 m/s⁻²

t₁ = 0 - 6/-9.8

t₁ = 0.61 s

Time take to fall from maximum height, t = 2 - 0.61s

Time take to fall from maximum height = 1.39s

  • Calculating the final velocity using the formula, v = u + gt

where u = 0 m/s

v = 0 + 9.8 * 1.39

v = 13.6 m/s

Initial height of stone

Initial height of stone = Height of bridge, H

Time taken by the stone to fall down from height, H in water, t = 2s

Initial velocity of stone = 6 ms⁻¹

Acceleration of the stone, g = 9.8 ms⁻²

  • Height of the bridge, H = -ut + gt²/2
  • Initial velocity is negative since it is against gravity

H =  -6 * 2 + 9.8 * 2² /2

H = 7.6m

Therefore, the speed at which the stone hits the water is 13.6m/s and the initial height of the stone is 7.6m

Learn more about velocity and height at: https://brainly.com/question/13665920

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.