Magnitude of acceleration

In summary, an object with constant acceleration covers two equal, consecutive 13 m long segments in 1.2 s and 2.2 s respectively. The magnitude of acceleration can be calculated using the equation acceleration = velocity/time, where velocity is found by dividing the distance (13 m) by the time (1.2 s or 2.2 s). The speed of the object at the beginning of the first segment can be found by calculating the average velocity (Vav) using the equation Vav = (2V1.V2)/V1+V2, where V1 and V2 are the velocities at each segment. In this case, V1 is 10.83 m/s and V2 is 5
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osamie
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Homework Statement


An object moving along a straight line, at constant acceleration covers two equal, consecutive, 13 m long segments, the first one in t 1 = 1.2 s and the second one in t 2 = 2.2 s . What was the magnitude of acceleration? (in m/s2) ,
And what is the speed of the object (m/s) at the beginning of the first segment?



Homework Equations


V=(D/T)
if D/2 at V1, D/2 at V2, then
Vav = (2V1.V2)/V1+V2
acceleration = velocity/time


The Attempt at a Solution


V1 = 13/1.2 = 10.83 m/s
V2 = 13/2.2 = 5.91m/s
Vav = (2x10.83 x 5.91)/10.83 + 5.91 = 7.6
acceleration = 7.6 / 3.4
= 2.24 m/s2
 
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  • #2
i have a similar problem...anyone help?
 
  • #3


The magnitude of acceleration is 2.24 m/s2. This means that the object is increasing its velocity by 2.24 m/s every second. The speed of the object at the beginning of the first segment can be calculated using the formula V = D/T, where D is the distance and T is the time. In this case, the distance is 13 m and the time is 1.2 s, so the speed at the beginning of the first segment is 10.83 m/s. This is the average speed of the object during the first segment.
 

1. What is the definition of magnitude of acceleration?

The magnitude of acceleration is the measure of how much an object's velocity changes over time. It is a vector quantity that has both magnitude (speed) and direction.

2. How is magnitude of acceleration different from acceleration?

Acceleration refers to any change in an object's velocity, while magnitude of acceleration specifically measures the size or amount of that change. In other words, acceleration is a broader concept that can refer to both positive and negative changes in velocity, while magnitude of acceleration only measures the positive change.

3. What units are used to measure magnitude of acceleration?

The standard unit for measuring magnitude of acceleration is meters per second squared (m/s²). However, other units such as feet per second squared (ft/s²) or kilometers per hour squared (km/h²) may also be used.

4. How is magnitude of acceleration calculated?

Magnitude of acceleration can be calculated by dividing the change in velocity (Δv) by the change in time (Δt). This can be represented by the formula: a = Δv/Δt. The resulting value will be in units of acceleration (m/s², ft/s², etc.).

5. What factors affect the magnitude of acceleration?

The magnitude of acceleration can be affected by several factors, including the force acting on the object, the mass of the object, and the direction of the force relative to the object's motion. In general, a larger force or a smaller mass will result in a larger magnitude of acceleration.

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