Answer part a & b also answer Part h which is not on the image attached but can you answer part h which is Find v: entire trip from 0 sec to tf sec

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 30PQ: A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the...
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Answer part a & b also answer Part h which is not on the image attached but can you answer part h which is Find v: entire trip from 0 sec to tf sec
1.
A car travels down a lonely road at constant velocity 20.0
m/s. Suddenly, at t=0, the driver sees a deer in the road. After a
reaction time t = 1.5 seconds, the driver steps on the brakes and the
car then decelerates (slows down) at constant acceleration with
magnitude 4.00 m/s² before coming to rest at time tf. Below is the velocity
v vs. time t graph of the car's motion.
eose
(e)
V
R = 1.5 s
What is the time tf when the car finally comes to rest?
What is the car's displacement (in m) at t = 1.0 seconds?
What is the car's displacement (in m) at t = 4.0 seconds?
At what time t is the car's instantaneous velocity v =
5.0 m/s?
At what time t is the car 's instantaneous velocity v =
10.0 m/s?
(f)
What is the car's average velocity (in m/s) in the time
interval between tp and tf (when the car is slowing down)?
What is the total displacement (i.e. stopping distance in
meters) between t = 0 and t = tf.
Transcribed Image Text:1. A car travels down a lonely road at constant velocity 20.0 m/s. Suddenly, at t=0, the driver sees a deer in the road. After a reaction time t = 1.5 seconds, the driver steps on the brakes and the car then decelerates (slows down) at constant acceleration with magnitude 4.00 m/s² before coming to rest at time tf. Below is the velocity v vs. time t graph of the car's motion. eose (e) V R = 1.5 s What is the time tf when the car finally comes to rest? What is the car's displacement (in m) at t = 1.0 seconds? What is the car's displacement (in m) at t = 4.0 seconds? At what time t is the car's instantaneous velocity v = 5.0 m/s? At what time t is the car 's instantaneous velocity v = 10.0 m/s? (f) What is the car's average velocity (in m/s) in the time interval between tp and tf (when the car is slowing down)? What is the total displacement (i.e. stopping distance in meters) between t = 0 and t = tf.
Expert Solution
Step 1: First kinematic equation

a)

Apply the first kinematic equation in the triangular part and substitute the corresponding values to calculate the final time when the car will finally come to rest.

table row cell v equals u plus a t end cell row cell v equals u plus a left parenthesis t subscript f minus t subscript R right parenthesis end cell row cell 0 equals 20 text  m/s end text plus left parenthesis negative 4 text  m/s end text squared right parenthesis left parenthesis t subscript f minus 1.5 text  s end text right parenthesis end cell row cell t subscript f minus 1.5 text  s end text equals 5 text  s end text end cell row cell t subscript f equals 6.5 text  s end text end cell end table

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