Driving down the road at a speed of 29.4 m/s, you suddenly notice a fallen tree blocking the road a distance of 65.7 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 7.1 m in front of the tree? A 7.38 m/s^2 B 6.58 m/s^2 C 5.94 m/s^2 D 14.75 m/s^2
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
-
Driving down the road at a speed of 29.4 m/s, you suddenly notice a fallen tree blocking the road a distance of 65.7 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 7.1 m in front of the tree?
A 7.38 m/s^2B 6.58 m/s^2C 5.94 m/s^2D 14.75 m/s^2
Given data:
Initial velocity (Vi) = 29.4 m/s
Final velocity (vf) = 0 m/s
Distance of tree = 65.7 m
Distance of final position from the tree = 7.1 m
Required:
The magnitude of the acceleration
Step by step
Solved in 2 steps
