Q102P - Fundamentals Of Physics

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?

 

Step-by-Step Solution

Answer

Answer

 

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

Given data

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

Time interval,  $▵t \text{=100 m/s}$ 

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, 

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

 

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

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

 

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