Calculation of the instantaneous velocity at a specific time, given x as a function of time: The position of an object is x(t) = 1.00 + 2.00 t- 3.00², %3D where x is in meters and t is in seconds. Calculate the instantaneous velocity of the object at time t =3.00 s.

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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Activity 2: PROBLEM SOLVING
Directions: Solve the following problems
1. The x-coordinates of an object at time t = 1.00 s and t = 4.00 s are 3 00
m and 5.00 m respectively. Calculate the average velocity of the object
on the time interval t = 1.00 s to 4.00 s. Construct and interpret the
position-time graph, velocity-time graph and acceleration-time graph.
2. Suppose that the velocity of an object at time t seconds is 3t2- Vt +3+
2. At t = 0, the position of the object is 7m. What is the position of the
object 8 seconds later?
3. A particle moves in a straight line with its position given by the following
equation: x(t) = 4-4t3+212 + 3t +6.
a. Find its position after 1 second.
b. Find its velocity after 2 seconds.
4. Calculation of the instantaneous velocity at a specific time, given x as a
function of time: The position of an object is x(t) = 1.00 + 2.00 t- 3.002,
where x is in meters and t is in seconds. Calculate the instantaneous
velocity of the object at time t =3.00 s.
Transcribed Image Text:Activity 2: PROBLEM SOLVING Directions: Solve the following problems 1. The x-coordinates of an object at time t = 1.00 s and t = 4.00 s are 3 00 m and 5.00 m respectively. Calculate the average velocity of the object on the time interval t = 1.00 s to 4.00 s. Construct and interpret the position-time graph, velocity-time graph and acceleration-time graph. 2. Suppose that the velocity of an object at time t seconds is 3t2- Vt +3+ 2. At t = 0, the position of the object is 7m. What is the position of the object 8 seconds later? 3. A particle moves in a straight line with its position given by the following equation: x(t) = 4-4t3+212 + 3t +6. a. Find its position after 1 second. b. Find its velocity after 2 seconds. 4. Calculation of the instantaneous velocity at a specific time, given x as a function of time: The position of an object is x(t) = 1.00 + 2.00 t- 3.002, where x is in meters and t is in seconds. Calculate the instantaneous velocity of the object at time t =3.00 s.
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