Average Acceleration of a Motorboat

In summary, the motorboat has an average acceleration of 0.60 m/s^2 during the 5.0 seconds, with a change in velocity of 3.0 m/s. The plus sign in front of the velocities indicates the direction of the boat's motion.
  • #1
a.k
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Homework Statement


A motorboat traveling in a straight line has a velocity of +4.0 m/s at some point in time. After 5.0 seconds, its velocity is +7.0 m/s. What is its average acceleration during this time?

Homework Equations



avg accel.=change in velocity/change in time

The Attempt at a Solution



7.0 m/s-4.0 m/s=3.0 m/s

[itex]\frac{3 m/s}{5s}[/itex]

0.60 m/s^2.

I don't understand why is it m/s^2 versus m/s. What does the plus sign indicate in the question in front of 7.0 and 3.0?
 
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  • #2
Well, ##\frac{m}{s^{2}}## is just the unit of acceleration. When you have ##\frac{m}{s}##, then divide that by a time, then the denominator becomes ##s^{2}##. And the plus sign is just used to indicate the direction of the velocity, and to indicate that the boat travels in a straight line.
 

Related to Average Acceleration of a Motorboat

What is average acceleration?

Average acceleration is the rate of change of velocity of an object over a specific period of time. It is calculated by dividing the change in velocity by the change in time.

How is average acceleration different from instantaneous acceleration?

Average acceleration is calculated over a specific time interval, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration gives an overall picture of an object's acceleration, while instantaneous acceleration gives a snapshot of its acceleration at a particular moment.

What is the formula for average acceleration?

The formula for average acceleration is: a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

What are the units for average acceleration?

Average acceleration is typically measured in meters per second squared (m/s²) in the metric system, or feet per second squared (ft/s²) in the imperial system.

How is average acceleration used in real life?

Average acceleration is used in various fields, such as physics, engineering, and sports. It can be used to analyze the motion of objects, design vehicles and machines, and improve athletic performance. It is also important in understanding the effects of forces on objects and predicting how they will move.

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