01
Press these keys
nDeriv(→fnInt(→zero
Step 1 of 3. Press nDeriv(.
02
Walkthrough
- 1Connect quantities
v=s′, a=v′; displacement is ∫v dt.
- 2Find direction changes
Solve v(t)=0 inside the interval.
- 3Distance
Split at direction changes and add |∫v dt| over each interval.
03
Worked example
v(t)=t−2 for 0≤t≤5. Find displacement and distance.
NORMAL FLOAT AUTO REAL MP
fnInt(T−2,T,0,5)=2.5zero t=2distance=|−2|+4.5=6.5AnswerDisplacement 2.5 units; distance 6.5 units.