Displacement
Definition
Displacement refers to the change in position of an object from its initial point to its final point, taking into account both distance and direction.
Related terms
Distance: Distance is the total length traveled by an object without considering direction.
Velocity: Velocity is the rate at which an object changes its displacement over time.
Acceleration: Acceleration is the rate at which an object changes its velocity over time.
"Displacement" appears in:
Subjects (6)
Study guides (1)
Additional resources (2)
Practice Questions (13)
- The velocity of an object moving along a straight line is given by the function v(t) = 4t - 3, where t represents time in seconds. What is the total displacement of the object from t = 2 to t = 5?
- The velocity of an object is given by the function v(t) = 3t^2 - 2t + 1, where t represents time in seconds. What is the total displacement of the object from t = 1 to t = 4?
- The velocity of an object moving along a straight line is given by the function v(t) = 2t + 1, where t represents time in seconds. What is the total displacement of the object from t = 0 to t = 5?
- The velocity of an object is given by the function v(t) = t^2 - t, where t represents time in seconds. What is the total displacement of the object from t = 1 to t = 3?
- The arc length of a curve is always _______ the displacement of an object along the curve.
- What is the displacement of a parametric function defined by x(t) and y(t)?
- What is the relationship between displacement and velocity in a parametric function?
- What does the displacement of a parametric function tell us?
- A particle moves along a straight line with a velocity given by the function (v(t) = 3t). What is the displacement of the particle from (t = 0) to (t = 2)?
- A car travels along a highway with a velocity given by the function (v(t) = 4t). What is the displacement of the car from (t = 1) to (t = 3)?
- A rocket ascends into space with a velocity given by the function (v(t) = 5t). What is the displacement of the rocket from (t = 0) to (t = 4)?
- A train moves along a track with a velocity given by the function (v(t) = 2t). What is the displacement of the train from (t = 2) to (t = 5)?
- A bird flies with a velocity given by the function (v(t) = 3t). What is the displacement of the bird from (t = 1) to (t = 4)?
