I can solve that the problem about motion in one dimention

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A motorcyclist accelerates east at 4.0 m/s², starting 5.0 m east of a signpost and moving at 15 m/s. To find his position and velocity at 2.0 seconds, the relevant kinematic equations are discussed, specifically those involving initial velocity, acceleration, and time. The conversation emphasizes using the correct formulas to calculate final velocity and position. The participants clarify the necessary equations from the physics library to solve for the motorcyclist's position when his velocity reaches 25 m/s. Proper application of these equations is crucial for accurate results.
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A motorcyclist heading east accelerates with a constant acceleration
of 4.0 m/s2. At time t = 0 he is 5.0 m east of a signpost, moving east
at 15 m/s.
a) Find his position and velocity at time t = 2.0 s.
b) Where is the motorcyclist when his velocity is 25 m/s?

how can i solve this ??
 
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thank you. is it? a=Vf-Vi/ΔT is it my formula? or V=V0+at2
 
hi bl4cksta! :smile:

(try using the X2 and X2 icons just above the Reply box :wink:)
bl4cksta said:
a=Vf-Vi/ΔT is it my formula?

yes, that'll give you vf …

you're using it because it has vi a t and vf :wink:
or V=V0+at2

where did you get that from?? :confused:

see the pf library for the standard https://www.physicsforums.com/library.php?do=view_item&itemid=204" equations :wink:

… to find s, you need one with vi a t and s

… what do you get? :smile:​
 
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tiny-tim said:
hi bl4cksta! :smile:

(try using the X2 and X2 icons just above the Reply box :wink:)


yes, that'll give you vf …

you're using it because it has vi a t and vf :wink:


where did you get that from?? :confused:

see the pf library for the standard https://www.physicsforums.com/library.php?do=view_item&itemid=204" equations :wink:

… to find s, you need one with vi a t and s

… what do you get? :smile:​


oops I am sorry i give you a wrong formulas
 
Last edited by a moderator:
tiny-tim said:
hi bl4cksta! :smile:

(try using the X2 and X2 icons just above the Reply box :wink:)


yes, that'll give you vf …

you're using it because it has vi a t and vf :wink:


where did you get that from?? :confused:

see the pf library for the standard https://www.physicsforums.com/library.php?do=view_item&itemid=204" equations :wink:

… to find s, you need one with vi a t and s

… what do you get? :smile:​


oops I am sorry i give you a wrong formula
 
Last edited by a moderator:
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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