Math Problem Statement

Calculate the distance it travels during the second second.

Express your answer using two significant figures.

Solution

To calculate the distance traveled during the second second, we'll need to use the following formulas from kinematics:

  1. Displacement formula (for uniformly accelerated motion): s=ut+12at2s = ut + \frac{1}{2} a t^2 where:

    • ss is the displacement,
    • uu is the initial velocity,
    • aa is the acceleration,
    • tt is the time.
  2. The total distance traveled during the second second is the difference between the distance traveled in two seconds and the distance traveled in one second: Distance in second second=s(2)s(1)\text{Distance in second second} = s(2) - s(1)

We'll need some initial conditions such as the initial velocity (uu) and acceleration (aa).

Could you please provide the values for uu (initial velocity) and aa (acceleration), or should I assume it's a common case (e.g., starting from rest with constant acceleration)?

Let me know how you'd like to proceed!

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Math Problem Analysis

Mathematical Concepts

Kinematics
Displacement
Uniformly Accelerated Motion

Formulas

Displacement formula: s = ut + (1/2)at^2
Difference formula for displacement between time intervals: Distance in second second = s(2) - s(1)

Theorems

Kinematic equations of motion for constant acceleration

Suitable Grade Level

Grades 9-12