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Applications of Integration: Finding distance and displacement

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Wize University Calculus 1 Textbook > Applications of Integration

Distance and Displacement

4 Activities

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.
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: 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.
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.