RachaelA said:d=(Vi+Vf/2)t
RachaelA said:Homework Statement
A dog accelerates from 2.0 m/sec to 5.0 m/sec while covering a distance of 14.0 m. How long did this take
Homework Equations
d=(Vi+Vf/2)t
The Attempt at a Solution
2(-Vi-Vf)d=t
I am doing something wrong. Please help. Thanks[/B]
This is the answer according to my teachervktsn0303 said:Sorry. A small correction in my previous reply.
t is not velocity*distance.
Seems like RachaelA has been taught to use the average velocity, being merely the average of initial and final velocities in the case of uniform acceleration. So no need to calculate the acceleration as such.Maged Saeed said:You have to put the acceleration in consideration ,
Please use parentheses correctly. What you have written means ##d = \left(V_i+\frac{V_f}{2}\right)t##, but I hope you mean ##d = \left(\frac{V_i+V_f}{2}\right)t##, which you could have written as d=((Vi+Vf)/2)t.RachaelA said:d=(Vi+Vf/2)t
Yes.RachaelA said:I think I should divide it?
Again, I hope you mean ##t = \frac d{\left(\frac{V_i+V_f}{2}\right)}## (which can be simplified a little, but no matter).RachaelA said:This is the answer according to my teacher
t=d/(Vf+Vi/2)
To derive time, velocity, and displacement, you need to use the basic kinematic equations, which involve the variables of initial velocity (u), final velocity (v), acceleration (a), time (t), and displacement (s). These equations are:
1) v = u + at
2) s = ut + 1/2at^2
3) v^2 = u^2 + 2as
4) s = 1/2(u+v)t
By rearranging these equations and plugging in known values, you can solve for the desired variable.
Time is typically measured in seconds (s), velocity in meters per second (m/s), and displacement in meters (m). However, depending on the specific situation, these units may vary. For example, time may be measured in minutes (min) or hours (hrs) for longer durations, and velocity may be measured in kilometers per hour (km/h) for faster speeds.
Yes, it is possible to derive time, velocity, and displacement without knowing the acceleration. However, you would need to have at least two of the other variables (initial velocity, final velocity, or displacement) in order to use the kinematic equations and solve for the unknown variable. If you only have one known variable, it is not possible to accurately derive the others.
The relationship between time, velocity, and displacement is described by the basic kinematic equations. These equations show how changes in one variable (such as acceleration) can affect the others. For example, if acceleration increases, velocity and displacement will also increase over time. Similarly, if acceleration is constant, velocity will change at a constant rate, and displacement will change at an increasing rate.
Yes, the kinematic equations can be used to derive time, velocity, and displacement for non-uniform (changing) motion. However, since the equations assume constant acceleration, they may not provide completely accurate results. In these cases, more complex mathematical models may be needed to accurately calculate these variables.