Where Did I Go Wrong in Calculating Average Acceleration?

AI Thread Summary
The discussion centers on calculating average acceleration over a specified time interval for a man standing still and then walking at a constant speed. The correct approach involves using the formula for average acceleration, a_avg = ∆V/∆t, where the final velocity is already known to be 2.5 m/s. The initial velocity at t=2 minutes is 0 m/s, leading to a change in velocity of 2.5 m/s over a time interval of 6 minutes (360 seconds). The correct average acceleration is therefore 0.00694 m/s², highlighting the importance of using the given final velocity rather than attempting to calculate it. Misunderstanding the distinction between average velocity and average acceleration led to the initial confusion.
praecox
Messages
16
Reaction score
0

Homework Statement



From t = 0 to t = 5.00 min, a man stands still, and from t = 5.00 min to t = 10.0 min, he walks briskly in a straight line at a constant speed of 2.5 m/s.

What is his average acceleration aavg in the interval 2.00 min to 8.00 min?

Homework Equations



I know that in the formula the A_avg is ∆V/∆t... but I can't make it work for me. It says the answer is .00694 m/s^2, but I keep getting a different answer.

The Attempt at a Solution



I tried to calculate the final velocity (V_f): ∆d/∆t: [2.5 m/s x 180 s]/480s. (or 2.5 m/s x 3 minutes)/8 minutes). This give me 0.975 m/s^2.
The initial velocity (V_i) seems to me that it would be 0 at t=2 minutes.
So A = [.975-0]/∆t = [.975 m/s]/360s = .0027 m/s^2.

but this is wrong.

Help please. where did I mess up?
 
Physics news on Phys.org
praecox said:
I tried to calculate the final velocity (V_f): ∆d/∆t: [2.5 m/s x 180 s]/480s. (or 2.5 m/s x 3 minutes)/8 minutes). This give me 0.975 m/s^2.
The final velocity is given--no need to calculate it! (You're calculating the average velocity, which is not needed.)
 
!
Thank you so much. I knew it was something silly I was messing up.
:blush:
 
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}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top