Vectors and Acceleration in a Straight Line

AI Thread Summary
The discussion focuses on calculating changes in velocity and understanding notation in physics problems. For the first scenario, the change in velocity from 6.0 m/s to -15 m/s is correctly noted as -9 m/s with a 180-degree direction change, while the change from 5.0 m/s East to 15 m/s West is noted as 9 m/s with a direction change from 90 degrees to 270 degrees. In the second part, the average velocity of the baby buggy is calculated as 3 m/s, and the final velocity at the bottom can be derived using the formula v = u + at, with acceleration determined from the distance and time. The formula s = t(u + v)/2 is also mentioned as a method to find final velocity when acceleration is constant. Overall, the answers provided for the first question are deemed acceptable.
Peter G.
Messages
439
Reaction score
0
What is the change in velocity when:
a) 6.0 m/s becomes - 15 m/s
b) 5.0 m/s East becomes 15 m/s West

My doubt is mainly the notation: How I should answer, here is my try:

a) -9 m/s with 180 degrees change in direction
b) 9 m/s with from direction bearing 90 degrees to 270 degrees

And: A baby buggy rolls down a ramp which is 15 m long. It starts from rest and accelerates uniformly and takes 5.0 seconds to reach the bottom:
a) Average Velocity: 15 /5 = 3 m/s

Now, b asks for the velocity at the bottom. I don't know how to calculate the velocity without the acceleration, which is asked in question c)

c) s = ut x 1/2at^2
a = 1.2 m/s^2

and then

b) v = u + at
v = 6 m/s

Anyone can teach me how to get the velocity without the acceleration and with the notation in the first question?

Thanks,
Peter
 
Physics news on Phys.org
You can find the final velocity with this formula (only when acceleration is constant):

s = t(u+v)/2
 
Aw, yea that's right, thanks.

And what about my answers to the first question? Think they are O.K?
 
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...
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