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

Answer:

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

Step-by-step 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,

$u_1\ =\ \sqrt{(20)^2+(25)^2}$

      $=\ \sqrt{400+625}$

       $=\ \sqrt{1025}$

       = 32.01 units

and speed of second car,

$u_2\ =\ \sqrt{(30)^2+(0)^2}$

        = 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.