9. solve for final velocity. a rocket accelerates from rest with an acceleration of 8 m/s² for 12 seconds…

9. solve for final velocity. a rocket accelerates from rest with an acceleration of 8 m/s² for 12 seconds. what is its final velocity after accelerating? 10. a skateboarder starts at a velocity of 2 m/s and accelerates down a ramp at 3 m/s² for 5 seconds. what is the final velocity of the skateboarder? 11. an athlete running at 7 m/s accelerates at 2.5 m/s² for 6 seconds. what is the athletes final velocity after the acceleration? 12. an airplane decelerates on the runway at a rate of -4 m/s². if it touches down with a velocity of 60 m/s and slows down, what is its final velocity after 15 seconds?

9. solve for final velocity. a rocket accelerates from rest with an acceleration of 8 m/s² for 12 seconds. what is its final velocity after accelerating? 10. a skateboarder starts at a velocity of 2 m/s and accelerates down a ramp at 3 m/s² for 5 seconds. what is the final velocity of the skateboarder? 11. an athlete running at 7 m/s accelerates at 2.5 m/s² for 6 seconds. what is the athletes final velocity after the acceleration? 12. an airplane decelerates on the runway at a rate of -4 m/s². if it touches down with a velocity of 60 m/s and slows down, what is its final velocity after 15 seconds?

Answer

9.

Explanation:

Step1: Identify the initial - velocity, acceleration and time

The initial velocity (u = 0\ m/s) (starts from rest), the acceleration (a=8\ m/s^{2}), and the time (t = 12\ s).

Step2: Use the equation (v=u + at)

Substitute the values into the equation (v=0+8\times12).

Step3: Calculate the final velocity

(v = 96\ m/s)

Answer:

(96\ m/s)

10.

Explanation:

Step1: Identify the initial - velocity, acceleration and time

The initial velocity (u = 2\ m/s), the acceleration (a = 3\ m/s^{2}), and the time (t = 5\ s).

Step2: Use the equation (v=u+at)

Substitute the values into the equation (v = 2+3\times5).

Step3: Calculate the final velocity

First, calculate (3\times5 = 15), then (v=2 + 15=17\ m/s)

Answer:

(17\ m/s)

11.

Explanation:

Step1: Identify the initial - velocity, acceleration and time

The initial velocity (u = 7\ m/s), the acceleration (a=2.5\ m/s^{2}), and the time (t = 6\ s).

Step2: Use the equation (v=u + at)

Substitute the values into the equation (v=7+2.5\times6).

Step3: Calculate the final velocity

First, calculate (2.5\times6=15), then (v = 7+15=22\ m/s)

Answer:

(22\ m/s)

12.

Explanation:

Step1: Identify the initial - velocity, acceleration and time

The initial velocity (u = 60\ m/s), the acceleration (a=- 4\ m/s^{2}), and the time (t = 15\ s).

Step2: Use the equation (v=u+at)

Substitute the values into the equation (v=60+( - 4)\times15).

Step3: Calculate the final velocity

First, calculate ((-4)\times15=-60), then (v=60-60 = 0\ m/s)

Answer:

(0\ m/s)