Calculate the sprinters average acceleration

AI Thread Summary
To calculate the sprinter's average acceleration, the change in velocity and elapsed time must be determined. The sprinter's initial velocity is 6.0 m/s at 3.0 seconds, and the final velocity is 4.0 m/s at 8.0 seconds, with a direction change from south to north. The average acceleration formula is applied, taking into account the vector nature of velocity. The discussion also touches on unit conversions, though they are not necessary for this specific problem. The focus remains on correctly applying the formula for average acceleration with the given velocities and times.
jeahomgrajan
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Homework Statement


A sprinter has a velocity of 6.0m/s at t=3.0s.
Five seconds later he is moving north with a speed of 4.0m/s. calculate the sprinters average acceleration


Homework Equations



average acceleration=change in velocity/elapsed time

The Attempt at a Solution



t1=3.0s, v1=6.0m/s, t2=8.0s, v2=-4.0m/s
 
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Your velocities (and acceleration) are vectors. They have a direction. What's vf-vi if vf=4m/s [n] and vi=6m/s ?
 
yeah i can jjust solve it, suppose i needed to change km/h/s to m/s^2
 
jeahomgrajan said:
yeah i can jjust solve it, suppose i needed to change km/h/s to m/s^2

I think you are thinking of a different problem. There's no km/hr in this one.
 
jeahomgrajan said:
yeah i can jjust solve it, suppose i needed to change km/h/s to m/s^2

Not sure how that relates to the question. They're already in standard units.
 
yeah i know I am just asking generally
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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