Question

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the units are the same for both directions? is the faster car. At what speed is the faster car traveling? speed = Enter the speed as a NUMBER, using exact values or at least 4 decimal place accuracy.

Answer 1

2nd car is running faster than the first car by 2.01 units.

Explanation:

Let's assume that

• the velocity of first car,

`v_1\ =\ 20i\ +\ 25j`

• and the velocity of second car

`v_2\ =\ 30i`

=> speed of first car,

`u_1\ =\ √((20)^2+(25)^2)`

`=\ √(400+625)`

`=\ √(1025)`

= 32.01 units

and speed of second car,

`u_2\ =\ √((30)^2+(0)^2)`

= 30 units

`u_2\ -\ u_1\ =\ 32.01\ -30`

= 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.