Grant is an overzealous new driver, out for the first time without his mom. He stopped at a red lght on a country road-when the light turns green he takes off with an acceleration of 3.0 m/s^2. He manages to accelerate up to 30 m/s and travels at this top speed for three seconds before realizing he is approaching another red light. He immediatlely hits the brakes and slows to a stop in 7 seconds with constant acceleration. A. What is the car's acceleration while he is slowing down? B. Draw qualitatively accurate position, velocity, and acceleration graphs for Grant's motion. Your graph axes should mimic those below (one graph should be y axis as distance (x) and x axis time) (2nd graph should be y axis velocity and x-axis time) 3rd graph should be y axis acceleration and x axis time) C. What is the total distance that Grant travels between the two stop lights?
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.
Grant is an overzealous new driver, out for the first time without his mom. He stopped at a red lght on a country road-when the light turns green he takes off with an acceleration of 3.0 m/s^2. He manages to accelerate up to 30 m/s and travels at this top speed for three seconds before realizing he is approaching another red light. He immediatlely hits the brakes and slows to a stop in 7 seconds with constant acceleration.
A. What is the car's acceleration while he is slowing down?
B. Draw qualitatively accurate position, velocity, and acceleration graphs for Grant's motion. Your graph axes should mimic those below
(one graph should be y axis as distance (x) and x axis time)
(2nd graph should be y axis velocity and x-axis time)
3rd graph should be y axis acceleration and x axis time)
C. What is the total distance that Grant travels between the two stop lights?
At t = 0 s, when Grant takes off at the Green light;
The velocity,
The acceleration,
The final speed at this acceleration, which remains constant for
The final speed when Grant applies brakes for the second Red Light, after
The car's acceleration when it is slowing down can be determined by,
Substitute the values,
The negative sign indicates that the speed of the car is decreasing.
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