Imagine you travel to a new planet. You drop a ball from the top of your spaceshipand measure the velocity of the ball every second. You plot these data on the graphbelow, Based on this information, what is the gravitational acceleration on thisplanet?1210842468.1012Time (s)9.8 m/s?1.0 m/s?12 m/s?2.5 m/s?002.Velocity (m/s)

Gradient is use to measure speed , acceleration jerk etc. Gradient of the time - distance graph is…

Answered: Imagine you travel to a new planet. You…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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

$A s g i v e n g r a p h i s l i n e a r s o w e c a n c h o o s e a n y p o i n t t o f i n d a c c e l e r a t i o n i t r e m a i n s s a m e a t e v e r y p o i n t G r a d i e n t o f t h e g i v e n v e l o c i t y - t i m e g r a p h = (\frac{C h a n g e i n v e l o c i t y}{C h a n g e i n t i m e}) = (\frac{10 - 0}{10 - 0}) = (\frac{10}{10}) = 1 m / s^{2}$

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