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. How long does the tennis ball take to go from one end of the court to the other? (s) 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 in km/h?
To find out how long the tennis ball takes to go from one end of the court to the other, we can use the formula:
time = distance / speed
Given that the distance of the tennis court from one end to the other is 23.8 m, and the speed of the tennis ball is 263 km/h, we can substitute these values into the formula:
time = 23.8 m / 263 km/h
Now, we need to convert the speed from km/h to m/s, as the distance is given in meters. To convert km/h to m/s, we divide the speed by 3.6 (since there are 3.6 seconds in an hour):
speed in m/s = 263 km/h / 3.6
Calculating this, we get:
speed in m/s ≈ 73.056 m/s
Now, we can substitute this value back into the original formula:
time = 23.8 m / 73.056 m/s
Calculating this division, we get:
time ≈ 0.3254 s
Therefore, the time it takes for the tennis ball to go from one end of the court to the other is approximately 0.3254 seconds.
Now, let's find the speed of the tennis ball in km/h, given that it takes 0.6 seconds to go from one end of the court to the other.
We'll use the formula:
speed = distance / time
Given that the distance is 23.8 m and the time is 0.6 s, we can substitute these values into the formula:
speed = 23.8 m / 0.6 s
Simplifying this division, we get:
speed ≈ 39.67 m/s
To convert this speed from m/s to km/h, we multiply it by 3.6 (since there are 3.6 seconds in an hour):
speed in km/h ≈ 39.67 m/s * 3.6
Calculating this multiplication, we get:
speed in km/h ≈ 142.8 km/h
Therefore, the speed of the tennis ball is approximately 142.8 km/h when it takes 0.6 seconds to go from one end of the court to the other.
time = distance/speed
so just plug in your numbers.
watch the units, to make sure they match (convert km/hr to m/s)
a. V = 26s3km/h = 263,000m/3600s = 73.1 m/s.
d = V*t = 23.8.
73.1*t = 23.8,
t =
b. V*t = 23.8.
V * 0.6 = 23.8,
V =