x=√(2*t)
y=t³+2t
Vx(t)=d/dt (√(2*t)) = 1/√(2*t)
Vx(4)=1/(2√2)≈ 0,353 m/s
Vy(t)=d/dt (t³+2t) = 3*t²+2
Vy(4)=3*4²+2=50 m/s
V(t)= √(Vx²+Vy²)
V(4)= √(0,353²+50²)
V(4)≈ 50 m/s
ax(t)=d²/dt² (√(2*t)) = -1/(2√2) t^(3/2) )
ax(4)≈-0.0442 m/s²
ay(t)=d²/dt² (t³+2t) = 6*t
ay(4)=24 m/s²
a(t)= √(ax²+ay²)
a(4)= √(0.0442²+24²)
a(4)≈24 m/s²
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x=√(2*t)
y=t³+2t
Vx(t)=d/dt (√(2*t)) = 1/√(2*t)
Vx(4)=1/(2√2)≈ 0,353 m/s
Vy(t)=d/dt (t³+2t) = 3*t²+2
Vy(4)=3*4²+2=50 m/s
V(t)= √(Vx²+Vy²)
V(4)= √(0,353²+50²)
V(4)≈ 50 m/s
ax(t)=d²/dt² (√(2*t)) = -1/(2√2) t^(3/2) )
ax(4)≈-0.0442 m/s²
ay(t)=d²/dt² (t³+2t) = 6*t
ay(4)=24 m/s²
a(t)= √(ax²+ay²)
a(4)= √(0.0442²+24²)
a(4)≈24 m/s²