Find speed using distance and acceleration?

  • Thread starter Thread starter bear_neals
  • Start date Start date
  • Tags Tags
    Acceleration Speed
AI Thread Summary
To find the speed of a man jumping into a swimming pool from a height of 4.7 meters, the relevant equations involve calculating time and final velocity using kinematic formulas. The first formula to use is distance = (initial velocity)*t + (1/2)*(acceleration)*t^2, with initial velocity set to 0, acceleration at -9.8 m/s², and distance at 4.7 meters. After determining the time taken, the final velocity can be calculated using the formula (final velocity) - (initial velocity) = (acceleration)*t. It’s important to remember to include the negative sign for acceleration due to gravity. This approach will yield the speed at which the man enters the water.
bear_neals
Messages
1
Reaction score
0
Hi everyone,
hopefully someone hear can help me.

a man jumps into a swimming pool from a height of 4.7m assuming that his downward acceleration is 9.8 m s2 due to gravity, at what speed does he enter the water.

I really need help knowing what equations to use, i realize i need to work out the time taken and use that to calculate the overall speed but i am having trouble displaying that as i need to show all my workings.

Thanks for your time.
 
Physics news on Phys.org
You could use the formula (distance)=(initial velocity)*t + (1/2)*(acceleration)*t^2 to find the time, using initial velocity = 0, acceleration = -9.8 and distance = 4.7.

Then you could use the formula (final velocity)-(initial velocity) = (acceleration)*t, using the same acceleration and time. Dont forget the negative sign in both accelerations.

Hope this helped.
 
  • Like
Likes bear_neals
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top