Math Problem Statement

A boat travels 50 m with 5 m/s velocity. What is the acceleration?

Solution

The question in the image reads:

"A boat travels 50 m with 5 m/s velocity. What is the acceleration?"

Let's break it down:

  1. The distance the boat travels is 50 meters.
  2. The velocity is given as 5 m/s.

However, the question asks for acceleration, and no information about a change in velocity or time is given. Acceleration is typically defined as the rate of change of velocity over time:

a=ΔvΔta = \frac{\Delta v}{\Delta t}

In this case, it seems like the boat is moving with a constant velocity of 5 m/s (since no information about the initial or final velocity change is provided). For constant velocity, the acceleration is zero because there's no change in speed.

Conclusion:

The acceleration of the boat is 0 m/s² because the velocity is constant.


Would you like more details or have any questions?

Related Questions:

  1. How is acceleration calculated when velocity changes over time?
  2. What happens if the boat starts from rest and reaches 5 m/s?
  3. How does uniform motion differ from accelerated motion?
  4. What is the relationship between velocity, acceleration, and distance?
  5. How can we find time if distance and velocity are known?

Tip: When velocity remains constant, there's no change in speed, meaning acceleration is zero!

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Math Problem Analysis

Mathematical Concepts

Kinematics
Constant Velocity

Formulas

Acceleration = Δv / Δt (rate of change of velocity)

Theorems

Newton's First Law of Motion (Law of Inertia)

Suitable Grade Level

Grade 9-10