How Do You Calculate Total Displacement in Projectile Motion?

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To calculate total displacement in projectile motion, it's essential to break down the motion into its components. A diagram can help visualize the three segments of movement: the initial 40.0 m/s, the first 15.0 m after a 90-degree turn, and the second 20 m after another turn. By adding the x and y components of these displacements, one can apply the Pythagorean theorem to find the resultant displacement. The signs of the components are crucial for accurate calculations. Understanding these steps will lead to the correct total displacement.
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Homework Statement


Shopping part moves 40.0m/s, makes a 90degree turn and moves 15.0m. Another 90degree turn and moves 20m. What is the total displacement?

Here, I need more help with which equation to use. Please give me that, and I will try it on my own. Thank you


Homework Equations





The Attempt at a Solution

 
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Welcome to PF.

There is no equation really.

Just draw a diagram and figure the total displacement given the 3 displacements that go into it.

You can do it algebraically by adding x direction components and y direction components and then using the Pythagorean to determine the result. (Signs matter.)
 
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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