M46,

A)

v = 80 `(km)/h` = 22,22 `m/s`

`a=v/t` = `22.22/19.3` = `color(red)("1,15 "m/s^2)`.

B)

`s=a/2*t^2`

`a=(2*s)/t^2` = `(2*400)/24.5^2` = `color(red)("1,33 "m/s^2)`.

C)

`Deltav` = 30 `(km)/h` = 8,33 `m/s`

`a=(Deltav)/(Deltat)` = `8.33/15` = `color(red)("0,"dot(5) m/s^2)`.

M47

v = 225 `(km)/h` = 62,5 `m/s`

A)

`a=v/t` = `62.5/20` = `color(red)("3,125 "m/s^2)`.

B)

`s=a/2*t^2` = `3.125/2*20^2` = `color(red)("625 m")`.

M51

A)

`s_(0-1)` = `a/2*t_1^2` = `5/2*1^2` = `color(red)("2,5 m")`

`s_(1-2)` = `s_(0-2)-s_(0-1)` = `a/2*(t_2^2-t_1^2)` = `5/2*(2^2-1^2)` = `color(red)("7,5 m")`.

`s_(2-3)` = `s_(0-3)-s_(0-2)` = `a/2*(t_3^2-t_2^2)` = `5/2*(3^2-2^2)` = `color(red)("12,5 m")`

`s_(3-4)` = `s_(0-4)-s_(0-3)` = `a/2*(t_4^2-t_3^2)` = `5/2*(4^2-3^2)` = `color(red)("17,5 m")`

B) Az addig megtett utak négyzetesen aránylanak egymáshoz.

C)

`v_2=a*t_2` = `5*2` = 10 `m/s`

`v_4=a*t_4` = `5*4` = 20 `m/s`

`Deltav` = `v_4-v_2` = `20-10` = `color(red)("10 "m/s"-mal nő")`.