High School
SAT
ACT
University
MCAT
LSAT
DAT

Applications of Integration: Displacement, Velocity, and Acceleration

Related Topics

Wize University Calculus 1 Textbook > Applications of Integration

Distance and Displacement

4 Activities

checklist
Mark Yourself Question
  1. Grab a piece of paper and try this problem yourself.
  2. When you're done, check the "I have answered this question" box below.
  3. View the solution and report whether you got it right or wrong.
The acceleration due to gravity of an object is given by a(t)=−9.8a\left(t\right)=-9.8. If the initial velocity and displacement are given by v(0)=5v\left(0\right)=5 and d(0)=2d\left(0\right)=2, find the function that represents the displacement at time t.

More Distance and Displacement Questions:
Applications of Integration: Finding distance and displacement
The velocity function, in meters per second, of a particle moving along a line is given by
v(t)=t2−2t−8v(t)=t^2-2t-8
For the time interval 1≤t≤61 \leq t \leq 6, find (a) the displacement of the particle and (b) the distance travelled by the particle.
Applications of Integration: Finding distance and displacement
The velocity funciton, in meters per second, of a particle moving alone a line is given by
v(t)=t2−2t−8v(t)=t^2-2t-8
For the time interval 1≤t≤61 \leq t \leq 6, find (a) the displacement of the particle and (b) the distance traveled by the particle.
Kinematics
The following graph represents the velocity of a particle in m/s, find the total displacement in meters of the particle from t=0 to t=5.
The graph of f(x)f(x) is given below. What is the total distance given by f(x)f\left(x\right) from x=0 x=0\ to x=4x=4?
A train travels at (t+1) m/s(t+1) \space m/s. How far does it travel after 4 seconds?
Applications of Integration: Finding distance and displacement
The velocity funciton, in meters per second, of a particle moving alone a line is given by
v(t)=t2−2t−8v(t)=t^2-2t-8
For the time interval 1≤t≤61 \leq t \leq 6, find (a) the displacement of the particle and (b) the distance traveled by the particle.
Applications of Integration: Displacement, Velocity, and Acceleration
The acceleration due to gravity of an object is given by a(t)=−9.8a\left(t\right)=-9.8. If the initial velocity and displacement are given by v(0)=5v\left(0\right)=5 and d(0)=2d\left(0\right)=2, find the function that represents the displacement at time t.