Kopertina e librit Matematika 10 - 11: Pjesa I

Zgjidhja e ushtrimit 2

Zgjidhja e ushtrimit 2 të mësimit 6.1A në librin Matematika 10 - 11: Pjesa I nga shtëpia botuese Botime Pegi me autorë Steve Fearnley, June Haighton, Steve Lomax, Peter Mullarkey, James Nicholson dhe Matt Nixon.


Pyetja

Duke përdorur formulën s=ut+12at2s=ut+ \dfrac{1}{2} at^2, plotësoni tabelën.

  1. u=4;a=5;t=2;su=4; a=5; t=2; s = ?
  2. u=3;a=2;t=4;su=-3; a=2; t=4; s = ?
  3. u=5;a=2;t=3;su=5; a=-2; t=3; s = ?
  4. uu = ?; a=2;t=4;s=8a=2; t=-4; s=8
  5. u=2;au=-2; a = ?; t=6;s=78t=6; s=78

Zgjidhja

  1. s=4×2+12×5×22s=8+10s=18s = 4 \times 2 + \dfrac{1}{\cancel2} \times 5 \times 2\cancel{^2} \rArr s=8+10 \rArr s=18
  2. s=(3)×4+12×2×42s=(12)+16s=4s=(-3) \times 4 + \dfrac{1}{\cancel2} \times \cancel2 \times 4^2 \rArr s=(-12)+16 \rArr s=4
  3. s=5×3+12×(2)×32s=15+(9)s=6s=5 \times 3 + \dfrac{1}{\cancel2} \times (-\cancel2) \times 3^2 \rArr s=15+(-9) \rArr s=6
  4. 8=u×(4)+12×2×(4)28=4u+164u=1684u=8u=28=u \times(-4) + \dfrac{1}{\cancel2} \times \cancel2 \times (-4)^2 \rArr 8=-4u+16 \rArr 4u=16-8 \rArr 4u=8 \rArr u=2
  5. 78=(2)×6+12×a×6278=(12)+36a278=(12)+18a18a=90a=578=(-2) \times 6 + \dfrac{1}{2} \times a \times 6^2 \rArr 78=(-12)+\dfrac{\cancel{36}a}{\cancel2} \rArr 78=(-12)+18a \rArr 18a=90 \rArr a=5