How Do You Determine Maximum Acceleration from a Velocity-Time Graph?

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To determine maximum acceleration from a velocity-time graph, one must calculate the slope of the velocity function, which represents acceleration. The acceleration is found by identifying changes in velocity over corresponding changes in time, expressed as Δv/Δt. For a calculus-based physics class, this involves using the derivative of the velocity function. If the graph appears complex, using a ruler to measure slopes between points can help clarify the changes in velocity. Understanding these concepts is crucial for accurately determining maximum acceleration.
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The graph shows the velocity v of a sports car as a function of time t . Use the graph to answer the following questions.

1.) Find the maximum acceleration a_max of the car
Express your answer in meters per second squared to the nearest integer.
a_max= _____________________ m/s^2


from the graph, should the acceleration be around 55m/s? but the answer must be in m/s^2, should am i suppose to convert it first? I'm new to physics, so all of this is pretty confusing.
 

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Is this from a non-calculus based physics class?
 
ProBasket said:
The graph shows the velocity v of a sports car as a function of time t . Use the graph to answer the following questions.

1.) Find the maximum acceleration a_max of the car
Express your answer in meters per second squared to the nearest integer.
a_max= _____________________ m/s^2


from the graph, should the acceleration be around 55m/s? but the answer must be in m/s^2, should am i suppose to convert it first? I'm new to physics, so all of this is pretty confusing.

velocity is in m/s is it not? Acceleration is the change of velocity with respect to a change in time or \Delta v/\Delta t. Loot athe the graph and equate changes in velocity with their corresponding change in time.
 
Is this from a non-calculus based physics class?
it's a cal-based class.

faust9 said:
velocity is in m/s is it not? Acceleration is the change of velocity with respect to a change in time or \Delta v/\Delta t. Loot athe the graph and equate changes in velocity with their corresponding change in time.


how would i find the changes in velocity? it's all over the place. and for time, would the change in time be 1?
 
ProBasket said:
it's a cal-based class.




how would i find the changes in velocity? it's all over the place. and for time, would the change in time be 1?

If this is a calculus based class then you should know that acceleration is the slope of a velocity function.

given a function y(x) then the slope of said function is dy/dx. Given a function of v(t) then the slope is dv/dt which is acceleration.

Think slope and grab a ruler.
 

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