Question

you (70 kg) are standing at the top of a diving board (6 m) about to jump in. you decided to “cannonball” (tuck your arms and legs into your sides) into the water and make the biggest splash you can so you leap upward at a velocity of 3 m/s. what is your velocity just before you splash into the water? (1 point) 3 m/s 11.25 m/s 10.84 m/s 14.25 m/s

Explanation:

Step1: Identify the kinematic equation

Use the kinematic equation \(v^{2}=v_{0}^{2}+2gh\). Here, \(v_{0} = 3\ m/s\) (initial velocity), \(g = 9.8\ m/s^{2}\) (acceleration due to gravity), and \(h=6\ m\) (height of the diving - board).

Step2: Substitute the values into the equation

Substitute \(v_{0}=3\ m/s\), \(g = 9.8\ m/s^{2}\), and \(h = 6\ m\) into \(v^{2}=v_{0}^{2}+2gh\).

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Step3: Solve for \(v\)

Take the square root of both sides: \(v=\sqrt{126.6}\approx11.25\ m/s\)

Answer:

11.25 m/s