NapkinCalc

Physics 1 — Motion & Energy

Motion with constant acceleration

Two equations cover almost everything: v = v₀ + a·t tells you how fast, and d = v₀·t + ½·a·t² tells you how far.

v0:=4m/sv_{0} := 4 m/s = 4 m / s initial velocity
ax:=2m/s2a_{x} := 2 m/s^2 = 2 m / s^2 constant acceleration
t1:=3st_{1} := 3 s = 3 s elapsed time
v1=v0+axt1v_{1} = v_{0} + a_{x} \cdot t_{1} = 10 m / s velocity after t₁
d1=v0t1+12axt12d_{1} = v_{0} \cdot t_{1} + \frac{1}{2} \cdot a_{x} \cdot t_{1}^{2} = 21 m distance covered