What is your average speed from Houston back to San Antonio?

AI Thread Summary
The discussion revolves around calculating average speed and solving physics problems related to motion. For the average speed from Houston to San Antonio, the user is asked to calculate speeds based on different segments of the journey. In the second problem, the user seeks confirmation on their calculations regarding a stone thrown from a building, specifically the time to reach the ground and its impact speed, with suggestions to use the quadratic formula for accuracy. The third problem involves a basketball player's jump, where time spent at different heights is calculated, and there's a discussion on the use of the quadratic formula versus alternative methods. Overall, the thread emphasizes the importance of accurate calculations and understanding physics concepts.
hytuoc
Messages
26
Reaction score
0
Plz show me how to do #1? and please check my work on #2 and 3. thanks so much! :smile:

1) You drive on Interstate 10 from San Antonio to Houston, half the time at 55km/h and the other half at 90km/h. On the way back you travel half the distance at 55km/h and the other half at 90km/h. What is ur averge speed rom Houston back to San Antonio?

Plz check my work below to see whether if I did it right?
2) A hoodlum throws a stone vertically downward w/ an initial speed of 12.0 m/s from the roof of a building, 30.0 m above the ground. (a) How long does it take the stone to reach the ground ?
(b) What is the speed of the stone at impact?

a) x = xi +vi t + 1/2 at^2
0= 30m + 12m/s t -1/2 * 9.8*t^2
t = 3.99 s or 4.0 s
b) vf = vi + at
= 12 - 9.8 (4s) = -27.2 m/s
****did I do (b) correctly?

3) A basketball player, standing near the basket to grab a rebound, jumps 76.0 cm vertically. How much (total) time does the player spend (a) in the top 15.0 cm of this jump and (b) in the bottom 15.0 cm? Does this help explain y such players seem to hang in the air at the tops of their jumps?

a) xf = xi +vi*t+1/2 at^2
76 = 0 + 0 + 1/2 (9.8) t ^2
t = 3.94 s
61 = 0 + 0 + 1/2 (9.8) t^2
t = 3.53 s
=> t= .41s <- time the player spent in the top 15.0 cm
b) 15 = 0 + 0 + 1/2 (9.8) t^2
t = 1.75 s
 
Physics news on Phys.org
On number 2-a, you may have calculated the time wrong. Make sure you use the quadratic equation.

You should get 4.9t^2 + 12t - 30 = 0. Thats all I'll say :)

Take into acct that I am also a physics student and am not too confident in what I am saying..
 
Last edited:
Why use quadradic formula?
That thing is nasty I try to stay away from it, find Vf first then you do not have to use that nasty thing. :smile:
 
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