Possible title: Finding Initial Velocity and Distance of a Projectile

AI Thread Summary
To find the initial velocity of a projectile given specific parameters, the formula dy = v1y t + 1/2 ay t² is used, with dy set at 4.961m and ay as -9.81 m/s². The time to reach this height can be calculated as t = √(2dy/ay), yielding t = 0.43s. The initial velocity in the y-direction (v1y) is assumed to be 0 m/s, leading to a correction in the distance formula. The correct equation for vertical displacement is d_y = V_{iy}t - 4.905t², which clarifies the calculation for dx. Understanding these equations is crucial for accurately determining the projectile's motion.
8320
Messages
1
Reaction score
0
You are to find the initial velocity of the projectile, then use this velocity to calculate dx when dy=4.961m
given
dx=0.92m
dy=0.42
ay=9.81
v1y=0

2. Homework Equations
To find the time, you use the formula dy=v1y t + 1/2ay t2
You would also use this formula to find the initial velocity

3. The Attempt at a Solution
For the time, it would be the square root of 2dy over ay
t= 0.43s for the second part, t= 1.01s
then you put t= 0.43 into the above equation for the velocity...
this is where I am running into trouble...

what is the velocity?
it is this velocity that you use to find dx.
the equation in my textbook is dx=v1x t
I know that the dx will also be in the general area of 0.80-90m
 
Physics news on Phys.org
It seems you have some errors in your question.

I assume that v1y=0 is to mean that the initial velocity in the y direction (V_{iy}[/tex]) is 0 m/s.<br /> I also assume that by ay=9.81, you mean to say that the acceleration of gravity is assumed to be 9.81 m/s^2[/tex]. Since gravity is downward, then you should have a_y=-9.81 m/s^2[/tex]&amp;lt;br /&amp;gt; &amp;lt;br /&amp;gt; If that is true, then dy (the displacement in the y direction) can never be positive.Additionally, you have the formula for distance written incorrectly; it should be:&amp;lt;br /&amp;gt; d_y = V_{iy}t + \frac{1}{2}at^2 = V_{iy}t - 4.905t^2&amp;lt;br /&amp;gt; (note that there is no velocity value in the t^2[/tex] term.)
 
Last edited:
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}...
Back
Top