- #1
negation
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Homework Statement
The position of an object as a function of time is r→ = (3.2t + 1.8t^2)i + (1.7t - 2.4t^2)j
Find its acceleration vector.
Acceleration vector of an object (answer check)
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AI Thread Summary
The discussion revolves around finding the acceleration vector of an object given its position function in terms of time. Participants clarify the notation used, specifically the confusion between using φ and j for vector components. One member expresses a desire to learn LaTeX for better formatting in posts. The use of Mathematica is mentioned, highlighting its different notation conventions. Overall, the thread emphasizes the importance of clear communication in mathematical expressions.
The position of an object as a function of time is r→ = (3.2t + 1.8t^2)i + (1.7t - 2.4t^2)j
Find its acceleration vector.
- #2
tiny-tim
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hi negation! 
(please type your answer directly into the post in future)
if that's i and j (why did you write φ ?
), then that looks ok
(please type your answer directly into the post in future)
if that's i and j (why did you write φ ?
), then that looks ok- #3
negation
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tiny-tim said:hi negation!
(please type your answer directly into the post in future)
if that's i and j (why did you write φ ?
Hi time,
I'm not acquainted with the use of Latex, although, I'm trying to pick up the use of Latex through member's post by looking at their codes.
Mathematica uses φ as j-hat.
Thanks for checking!
- #4
tiny-tim
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negation said:
ahh!
(and for latex on this forum, just type two #s before and after
)EDIT: eg ##\hat{j}##
Last edited:
- #5
negation
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edit:
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?
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook.
Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water.
I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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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