Question

A scooter going towards east at 20 ms^-1 turns right through an angle of 90°. lf the speed of the scooter remains unchanged in taking turn, the change in the velocity of the scooter is ____________.

Options

• 20.0 ms^-1 south eastern direction

• zero

• 10.0 ms^-1 in southern direction

• 20`sqrt2` ms^-1 in south-west direction

Answer 1

A scooter going towards east at 20 ms^-1 turns right through an angle of 90°. lf the speed of the scooter remains unchanged in taking turn, the change in the velocity of the scooter is 20`sqrt2` ms^-1 in south-west direction.

Explanation:

Magnitude of change in velocity,

`abs(Deltavec"v") = "2v sin" (theta/2)`

`therefore abs(Deltavec"v") = 2 xx 20 xx "sin" ((90°)/2) 20 sqrt2  "ms"^-1`