A car was parked on the side of a hillside road at the top of a hill. Unbeknown to the owner, its parking brake failed and a tremor from nearby construction set it in motion with negligible initial speed down the hill. Assume the acceleration was constant down the hill, the car was given a speed ticket by a traffic camera at the foot of the hill, which measured the speed of the car at 21.0 m/s. The video recording showed the car took 35.0 seconds to slide down the hill. How long is the road on the side of the hill? Please keep 3 sig. figs. to ensure your answer is within 5% of the expected answer.
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.
![### Problem Statement
A car was parked on the side of a hillside road at the top of a hill. Unbeknown to the owner, its parking brake failed and a tremor from nearby construction set it in motion with negligible initial speed down the hill. Assume the acceleration was constant down the hill, the car was given a speed ticket by a traffic camera at the foot of the hill, which measured the speed of the car at 21.0 m/s. The video recording showed the car took 35.0 seconds to slide down the hill. How long is the road on the side of the hill?
Please keep 3 significant figures to ensure your answer is within 5% of the expected answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e60ae64-4458-4b89-bb0e-7dd9dd5dc5fe%2F723fde41-5b3f-4a17-bf4a-39348baaacfb%2Fviowjqi_processed.png&w=3840&q=75)
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