A car is traveling at a constant speed of 54 km/h when its driver sees a child run into the road. The driver applies her brakes until the child returns to the sidewalk and then accelerates to resume her original speed of 54 km/h; the acceleration record of the car is shown in the figure. Assuming x=0 when t=0, determine (a) the time t₁ at which the velocity is again 54 km/h, (b) the position of the car at that time, (c) the average velocity of the car during the interval 1s < t≤ t₁ a(m/s²) 2 0 1 2 4.5 t₁t(s)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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*use the formula in the picture and show the detailed solution. thank you and god bless.

= P = ²50 = + =
a= dv
at
OSKCK
VA
= Ods=√d-v
3
S = So + vot + ½¼/2at²
V=To tat
v² = To ² + 2a (s-so)
Transcribed Image Text:= P = ²50 = + = a= dv at OSKCK VA = Ods=√d-v 3 S = So + vot + ½¼/2at² V=To tat v² = To ² + 2a (s-so)
A car is traveling at a constant speed of 54 km/h when its driver sees a child run into the road.
The driver applies her brakes until the child returns to the sidewalk and then accelerates to
resume her original speed of 54 km/h; the acceleration record of the car is shown in the figure.
Assuming x=0 when t=0, determine (a) the time t₁ at which the velocity is again 54 km/h, (b)
the position of the car at that time, (c) the average velocity of the car during the interval 1s <
t≤ t₁
a(m/s²)
2
0
1 2
4.5
t₁t(s)
Transcribed Image Text:A car is traveling at a constant speed of 54 km/h when its driver sees a child run into the road. The driver applies her brakes until the child returns to the sidewalk and then accelerates to resume her original speed of 54 km/h; the acceleration record of the car is shown in the figure. Assuming x=0 when t=0, determine (a) the time t₁ at which the velocity is again 54 km/h, (b) the position of the car at that time, (c) the average velocity of the car during the interval 1s < t≤ t₁ a(m/s²) 2 0 1 2 4.5 t₁t(s)
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