Solve the Golf Ball Problem: Time and Speed Calculations | 2-D Homework

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The problem involves a golf ball rolling off a cliff with an initial speed of 11.2 m/s and falling a vertical distance of 15.2 m. The time spent in the air is calculated to be 1.76 seconds using the equation for vertical motion. For part (b), the final speed of the ball just before it strikes the water requires calculating both horizontal and vertical velocity components. The horizontal velocity remains constant at 11.2 m/s, while the vertical velocity can be determined using the acceleration due to gravity. The final speed is found by combining these two components as vectors.
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Homework Statement


A golf ball rolls off a horizontal cliff with an initial speed of 11.2 m/s. The ball falls a vertical distance of 15.2 m into a lake below.

(a) How much time does the ball spend in the air?
(b) What is the speed v of the ball just before it strikes the water?

y = -15.2m
Vox = 11.2 m/s
Voy = 0
ay = -9.8 m/s^2

The Attempt at a Solution



a) y = Voy t + 1/2 ay t^2
-15.2 = 0 + 1/2(-9.8) t^2
t^2 = 3.10
t = 1.76 s

need help working out part b
 
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There will be two components to the final velocity (horizontal and vertical). You need to find both and add them (as vectors).
 
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