- #1
tahayassen
- 269
- 1
Homework Statement
What does the area under an acceleration-time graph give?
Homework Equations
The Attempt at a Solution
Instantaneous velocity.
AI Thread Summary
The area under an acceleration-time graph represents the change in velocity over a specified time interval. It is calculated as the difference between the instantaneous velocity at the final time and the initial velocity at the starting time. Clarification is made that the term "initial velocity" refers to the velocity at the beginning of the time interval being analyzed. This emphasizes the importance of defining the time values when interpreting the graph. Understanding this concept is crucial for analyzing motion in physics.
What does the area under an acceleration-time graph give?
Instantaneous velocity.
- #2
tiny-tim
Science Advisor
Homework Helper
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hi tahayassen! 
strictly, instantaneous velocity minus initial velocity
tahayassen said:
strictly, instantaneous velocity minus initial velocity
- #3
tahayassen
- 269
- 1
tiny-tim said:hi tahayassen!
strictly, instantaneous velocity minus initial velocity
Oh, because it gives you the change in velocity. Opps!
- #4
tahayassen
- 269
- 1
Actually, which initial velocity are we talking about? The initial velocity of that instant?
- #5
tiny-tim
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"the area under" must mean "between two values of t" …
one value is the present time, the other value is what we usually call the initial time
one value is the present time, the other value is what we usually call the initial time
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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.
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