Calculated the total time kinematics

In summary, the problem involves a stone being thrown vertically upward with a speed of 12.0 m/s from the edge of a cliff 70 m high. The questions ask for the time it takes to reach the bottom of the cliff, the speed just before hitting, and the total distance traveled. The total time has been calculated, but the other two parts require finding the maximum height first. The formula x=x(0)+v(0)t+1/2at^2 has been used to calculate the time and the results are 5.2 seconds and -2.75 seconds. The distance traveled is 84.7m and the speed just before hitting is 38.9 m/s. A hint is needed for
  • #1
jacy
76
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
 
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  • #2
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
 
  • #3
And remember that the V0 will be positive in the velocity equation
 

1. What is kinematics and why is it important in science?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion. It is important in science because it helps us understand and describe the motion of objects, which is a fundamental aspect of physics. It also allows us to make predictions about the future motion of objects.

2. What is the total time kinematics and how is it calculated?

The total time kinematics is the total time it takes for an object to undergo a certain motion. It is calculated by adding the individual times for each segment of the motion. For example, if an object travels at a constant speed for 5 seconds and then accelerates for 3 seconds before coming to a stop, the total time kinematics would be 8 seconds.

3. What are the units of measurement for total time kinematics?

The units of measurement for total time kinematics will depend on the units used to measure time. For example, if time is measured in seconds, the units for total time kinematics will be seconds as well.

4. How is total time kinematics different from other types of kinematics?

Total time kinematics specifically focuses on the total time it takes for an object to undergo a certain motion, while other types of kinematics may focus on other aspects such as velocity, acceleration, and displacement.

5. How is total time kinematics used in real-world applications?

Total time kinematics is used in many real-world applications, such as calculating the travel time for a car to reach its destination, determining the flight time for an airplane, or predicting the time it takes for a roller coaster to complete a full cycle. It is also used in sports to measure the total time it takes for an athlete to complete a race or event.

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