Maria was riding her bike at a velocity of 3 m/s to the north. Her velocity changed to 11 m/s to the north. What was her change in velocity

Explanation:

Initial velocity to the north = 3 m /s

Final velocity to the north = 11 m /s

change in velocity = 11 - 3 = 8 m /s to the north .

change in velocity ( magnitude ) = 8 m /s

Direction of change in velocity = to the  north.

The ball's vertical velocity at the time it just passes over the goal is 0 m/s. Its initial vertical velocity is unknown and we denote it by , where here is the ball's initial speed. Vertically, the only force acting on the ball is gravity, which attributes a downward acceleration of 9.8 m/s^2. We expect the maximum height achieved by the ball to be 2.4 m, so we can find the initial speed by solving