Calculated the total time kinematics

  • Thread starter Thread starter jacy
  • Start date Start date
  • Tags Tags
    Kinematics Time
AI Thread Summary
A stone is thrown upward from a 70 m cliff with an initial speed of 12.0 m/s. The calculated time to reach the bottom is 5.2 seconds. To find the speed just before impact and the total distance traveled, it's suggested to determine the maximum height first, where the velocity is zero. The final speed before hitting the ground is calculated to be 38.9 m/s, and the total distance traveled is 84.7 m. Understanding the kinematic equations and the concept of maximum height is crucial for solving the remaining parts of the problem.
jacy
Messages
76
Reaction score
0
Hi,
Here is the problem that am working on.

A stone is thrown vertically upward with a speed of 12.0 m/s from the edge of a cliff 70 m high.
(a) How much later does it reach the bottom of the cliff?
(b) What is its speed just before hitting
(c) What total distance did it travel.

I have calculated the total time it takes to reach the bottom of the cliff, but haven't been able to do the (b) and (c) part. Here is what i have done

I used this formula to compute the time and am getting it right.

x= x(0) + v(0)t + 1/2 at^2

0= 70+12t+1/2(-9.8)t^2
t= 5.2 seconds, -2.75 seconds

the ans to the c part is 84.7m and b part is38.9 m/s. Please suggest me a hint. Thanks
 
Physics news on Phys.org
Looks like you need to find the maximum height the stone makes it to, for B) and C). Remember at the max height velocity = 0
 
And remember that the V0 will be positive in the velocity equation
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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...
Back
Top