A car starts moving from a standstill. After this car moves with an acceleration of 3.0 m/s2 for 4.0 s in the first stage, then at a constant speed for 7.0 s in the second stage and with an acceleration of 2.5 m/s2 for 15 s in the third stage, In the fourth stage, it slows to a stop with an acceleration of 1.0 m/s2. a) Draw the velocity-time graph for the time this vehicle starts to move and stops. Draw the graph and show all the values on the graph. b) Calculate the distance traveled and the speed reached by this vehicle in the first stage. c) Calculate the distance traveled by this vehicle in the second stage. d) Calculate the distance traveled and the speed reached by this vehicle in the third stage. e) Calculate the distance traveled by this vehicle in stage four and the time it took to stop. f) Calculate how much displacement this vehicle has made during its entire movement. g) Calculate how long the entire movement of this vehicle took. h) Calculate what is the average speed of this vehicle over its entire movement
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.
A car starts moving from a standstill. After this car moves with an acceleration of 3.0 m/s2 for 4.0 s in the first stage, then at a constant speed for 7.0 s in the second stage and with an acceleration of 2.5 m/s2 for 15 s in the third stage, In the fourth stage, it slows to a stop with an acceleration of 1.0 m/s2.
a) Draw the velocity-time graph for the time this vehicle starts to move and stops. Draw the graph and show all the values on the graph.
b) Calculate the distance traveled and the speed reached by this vehicle in the first stage.
c) Calculate the distance traveled by this vehicle in the second stage.
d) Calculate the distance traveled and the speed reached by this vehicle in the third stage.
e) Calculate the distance traveled by this vehicle in stage four and the time it took to stop.
f) Calculate how much displacement this vehicle has made during its entire movement.
g) Calculate how long the entire movement of this vehicle took.
h) Calculate what is the average speed of this vehicle over its entire movement
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