Question

In the problem, you are given the kinematic equation that are used to solve a problem.

1. Write a realistic problem for which this is the correct equation. Be sure that the answer your problem requests is consistent with the equation given.
2. Draw the pictorial presentation for your problem.
3. Finish the solution of the problem.

${\left(0m/s\right)}^2={\left(5m/s\right)}^2-2\left(9.8m/s^2\right)\left(\sin {10}^0\right)\left(x_1-0m\right)$

Short answer

A golfer makes a putt up a ten-degree sloped green towards the hole. The golfer hits the ball hard enough to give it a 5m/s initial velocity. As it slows to a stop, the ball decelerates equally, dropping into the hole. Determine the length of the putt.

Step-by-step solution

Write the realistic problem representing the given equation:

A golfer makes a putt up a ten-degree sloped green towards the hole. The golfer hits the ball hard enough to give it a 5m/s initial velocity. As it slows to a stop, the ball decelerates equally, dropping into the hole. Determine the length of the putt.

Pictorial presentation of the given problem:

Determine the length of the putt:

From the given equation, solve for x₁:

$$\begin{gathered} x_1=\frac{25}{2\times 9.8\times \sin {10}^0} \\ =7.3m \end{gathered}$$