2. 1D Motion / Kinematics

A moving box's motion is described by the velocity graph below. The box's initial position is x = 0.
(a) How far has the box moved at t = 4?
(b) What is the displacement of the box from t=4 to t=10?

FIGURE EX2.8 is a somewhat idealized graph of the velocity of blood in the ascending aorta during one beat of the heart. Approximately how far, in cm, does the blood move during one beat?

A particle starts from x₀ = 10 m at t₀ = 0 s and moves with the velocity graph shown in FIGURE EX2.6. What is the object’s position at t = 2 s and 4 s?

Given v(t) = 25 + 18t, where v is in m/s and t is in s, use calculus to determine the total displacement from t₁ = 1.3 s to t₂ = 3.6 s.

Which scenario best describes an object with a $d=0$ (displacement of zero) when analyzing its motion on a velocity-time graph?

An object moves with a constant velocity of $4m/s$ for $5s$. What is the total displacement of the object after $5$ seconds?

A particle moves along a straight line with its velocity as a function of time shown in the graph below. What is the net displacement of the particle between $0$ seconds and $80$ seconds? (Assume the area under the velocity-time graph between these times is $160$ $m$.)