College

We appreciate your visit to What is the acceleration of an arrow being shot upwards if it travels 45 0 m into the air at an initial speed of 36. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the acceleration of an arrow being shot upwards if it travels 45.0 m into the air at an initial speed of 36.3 m/s and reaches the top in 3.70 seconds?

Answer :

Answer: -13.05 m/s²

Explanation:

To find the acceleration of the arrow, we can use this kinematic formula:

d = v₀t + (1/2)at², where:

  • d is the displacement
  • v₀ is the initial velocity (or speed in this case)
  • a is the acceleration
  • t is the time

We are given:

  • d = 45 m
  • v₀ = 36.3 m/s
  • t = 3.7

Let's substitute these values into the formula:

45 = 36.3(3.7) + (1/2)a(3.7)²

Solve for a:

-89.31 = (1/2)a(3.7)²

-178.62 = a(3.7)²

a = -13.047

The acceleration of the arrow being shot upwards is approximately -13.05 m/s².

The negative sign indicates that the acceleration is directed downwards, which is consistent with the deceleration experienced by the arrow as it reaches the peak of its trajectory.

Thanks for taking the time to read What is the acceleration of an arrow being shot upwards if it travels 45 0 m into the air at an initial speed of 36. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada