In a graphing paper, graph the function ix = (t -t + 2) in displacement x vs time t graph (x vs t) showing displacement x in the y-axis and time t in the x-axis. Then, graphically obtain the instantaneous velocity of particle A at time t = 5 seconds by getting the slope of a line tangent to the curve.

Physics for Scientists and Engineers with Modern Physics
10th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter38: Relativity
Section: Chapter Questions
Problem 44AP
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Please help me with the number 2. Given: x= f(t), where f (t)= 11t³ + 28t² + t
Direction: Solve the problem.
X2= 5000 m
X1 = Om
t = Os
ts= 5s
tz = 10s
DA = ?
ig = ?
XA = ?
A
vg =?
x = t) = t? -t + 2
aA =?
ag =?
B
v = = 3r* + ++t
1. Sub-atomic particles A and B are moving in a 100-meter dash line in 10s. Particle A moves such that its
displacement x in meters is given by the function x = (t? – t+ 2)meters. Meanwhile, particle B is moving at a
velocity v = (3r' + - t² + t) m/s. If both particles A and B started from rest at the same time, Compute the
following;
a. Average velocity v of particle A and particle B in m/s in 10s trip.
b. Displacement x of particle A and particle B from the starting point at t = 5s.
c. Velocity v of particle A and particle B at t = 5s
d. Acceleration a of particle A and particle B at t = 5s.
(Hint: wcelention is the de ri vative of velocity; ainst =
dv
dt
2. In a graphing paper, graph the function ix = (t² – t + 2) in displacement x vs time t graph (x vs t) showing
displacement x in the y-axis and time t in the x-axis. Then, graphically obtain the instantaneous velocity of
particle A at time t = 5 seconds by getting the slope of a line tangent to the curve.
Transcribed Image Text:Direction: Solve the problem. X2= 5000 m X1 = Om t = Os ts= 5s tz = 10s DA = ? ig = ? XA = ? A vg =? x = t) = t? -t + 2 aA =? ag =? B v = = 3r* + ++t 1. Sub-atomic particles A and B are moving in a 100-meter dash line in 10s. Particle A moves such that its displacement x in meters is given by the function x = (t? – t+ 2)meters. Meanwhile, particle B is moving at a velocity v = (3r' + - t² + t) m/s. If both particles A and B started from rest at the same time, Compute the following; a. Average velocity v of particle A and particle B in m/s in 10s trip. b. Displacement x of particle A and particle B from the starting point at t = 5s. c. Velocity v of particle A and particle B at t = 5s d. Acceleration a of particle A and particle B at t = 5s. (Hint: wcelention is the de ri vative of velocity; ainst = dv dt 2. In a graphing paper, graph the function ix = (t² – t + 2) in displacement x vs time t graph (x vs t) showing displacement x in the y-axis and time t in the x-axis. Then, graphically obtain the instantaneous velocity of particle A at time t = 5 seconds by getting the slope of a line tangent to the curve.
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