Question

Question: The sport with the fastest moving ball is jai alai, where measured speeds have reached 303 km/hr. If a professional jai alai player faces a ball at that speed and involuntarily blinks, he blacks out the scene for 100 ms. How far does the ball move during the blackout?

Short answer

Answer

The distance ball moved during the blackout is $8.42\text{m}$.

Step-by-step solution

Given data

The measured speed, $303\text{km/h}$

Time interval, $▵t\text{=100m/s}$

The speed of an object is defined as the rate of change of distance with time. It is a scalar quantity.  

The expression for the speed is given as follows:

$\mathrm{speed}=\frac{\mathrm{Distance}}{\mathrm{Time}\mathrm{Interval}}$ … (i)

Determination of the distance moved during the blackout.

First, convert the speed of the ball from$\text{km/h}$to$\text{m/s}$ . The speed of the ball can be written as,

$$\begin{gathered} \text{Speed=303km/h} \\ =303\times \frac{5}{18}\text{m/s} \\ =84.167\text{m/s} \end{gathered}$$

From equation (i), the distance covered during the blackout is,

$$\begin{gathered} \text{Distance=Speed×Timeinterval} \\ =84.167{\text{m/s×100×10}}^{-3}\text{s} \\ \approx 8.42\text{m} \end{gathered}$$

Thus, the distance ball moved during the blackout is $8.42\text{m.}$.