Imagine you travel to a new planet. You drop a ball from the top of your spaceship and measure the velocity of the ball every second. You plot these data on the graph below, Based on this information, what is the gravitational acceleration on this planet? 12 10 2 10 12 Time (s) 9.8 m/s? 1.0 m/s? 12 m/s? 2.5 m/s? Velocity (m/s) 00

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 76P: The CERN particle accelerator is circular with a circumference of 7.0 km. (a) What is the...
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Imagine you travel to a new planet. You drop a ball from the top of your spaceship
and measure the velocity of the ball every second. You plot these data on the graph
below, Based on this information, what is the gravitational acceleration on this
planet?
12
10
8
4
2
4
6
8.
10
12
Time (s)
9.8 m/s?
1.0 m/s?
12 m/s?
2.5 m/s?
00
2.
Velocity (m/s)
Transcribed Image Text:Imagine you travel to a new planet. You drop a ball from the top of your spaceship and measure the velocity of the ball every second. You plot these data on the graph below, Based on this information, what is the gravitational acceleration on this planet? 12 10 8 4 2 4 6 8. 10 12 Time (s) 9.8 m/s? 1.0 m/s? 12 m/s? 2.5 m/s? 00 2. Velocity (m/s)
Expert Solution
Step 1

Gradient is use to measure speed , acceleration jerk etc.

  • Gradient of the time - distance graph is equal to the velocity
  • Gradient of the time - velocity graph is equal to the acceleration
  • Gradient of the time - acceleration graph is equal to the jerk

As given graph is linear so we can choose any point to find acceleration it remains same at every pointGradient of the given velocity-time graph = Change in velocityChange in time                                                                             =10 - 010 -0                                                                               =1010                                                                             =1 m/s2

 

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