1 . A driver wanted to test the braking system of his car. He traveled at 30...
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Question:
1.
A driver wanted to test the braking system of his car. He traveled at 30 m/s, and after applying the brakes, came to a stop in 3.5 s. Calculate the car's acceleration and the distance necessary to the car to stop.
Δt = 3.5s
⇀v1 = 30 m/s
⇀v2 = 0 m/s2
⇀a = ?
Equation: V2=⇀v1 +⇀a • Δt
Rearranged:⇀a = v2-⇀v1 / Δt
⇀a = 0 m/s - 30 m/s / 3.5s
= -8.60 m/s2
Significant Figures = 3 Therefore the driver was accelerating at -8.60 m/s2 relative to the direction in which she was originally traveling. (We could also say the driver was decelerating at a rate of 8.60 m/s
2)
A truck is traveling at 108 km/h. Because of an accident on the road, it has to come to a stop. If the truck can decelerate at a constant 4.5 m/s2, how far does it travel before it stops?
108km/h = 30 m/s
V1 = 30 m/s
V2 2= 0 m/s2
A = -4.5m/s2
Equation: V22= V1 2+ 2a • Δd
Rearranged: Δd = V22- V1 2/ 2a
Δd = 0m/s2- 30 m/s2/ 2(-4.5m/s)
= 100m Significant
Figures: 1 Therefore it travels 100 meters before it stops.
Related Book For
A First Course In Mathematical Modeling
ISBN: 9781285050904
5th Edition
Authors: Frank R. Giordano, William P. Fox, Steven B. Horton
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