Question

The fastest speed ever measured for a tennis ball served by a player was 263 km/h. The distance of the tennis court from one end to the other is 23.8 m. (a) How long does the tennis ball take to go from one end of the court to the other? (b) Suppose that the time the tennis ball takes to go from one end of the court to the other is 0.6 s. What is the speed of the tennis ball?

Answer 1

0.3257 seconds

39.67 m/s

Step-by-step explanation:

Speed = 263 km/h

Converting to m/s

`1\ km/h=(1)/(3.6)\ m/s`

`263\ km/h=263* (1)/(3.6)\ m/s=(1315)/(18)\ m/s`

Distance to travel = 23.8 m

Time = Distance / Speed

`Time=(23.8)/((1315)/(18))=0.3257\ s`

The time taken to go from one end of the court to the other is 0.3257 seconds

Time = 0.6 s

Speed = Distance / Time

`Speed=(23.8)/(0.6)=39.67\ m/s`

The speed of the tennis ball is 39.67 m/s