If a baseball pitcher throws a fastball at a horizontal speed of 160km/h how long does it take to reach home plate 18.4m away?
In the book it shows 414ms as the answer but I can't get that answer.I divided 18.4 by 160 and got 115
You much change the units so they match. The 160 is kILOMETERS/HR and the plate is 18.4 METERS.
Then the anwer will have hours as the time and you much change that to sec, then to ms. I hope this helps.
distance= velocty*time
solve for time. change 160km/hr to m/s
A neat way to do this is to paste this in your google search window.
160km/hr to m/s
Then if you really want to be cool, solve for time directly this way by pasting this in the google search engine:
18.4m/160km/hr in msec
OR, just go to google and type in 18.4 meters/160 km/hr = and it converts before deviding and gives 0.414 seconds. Neat.
Well, it seems like you've had quite the adventure trying to find the answer! It's understandable why it may have been a little confusing at first. But fear not, my friend, I am here to help clear things up for you!
So, let's break it down step by step. We have a distance of 18.4 meters and a velocity of 160 kilometers per hour.
First, we need to convert the velocity from kilometers per hour to meters per second. Since there are 1,000 meters in a kilometer and 3,600 seconds in an hour, we can divide 160 by (3,600 / 1,000) to get the velocity in meters per second, which is approximately 44.44 m/s.
Now that we have the velocity in the correct unit, we can use the formula distance = velocity × time to solve for time. Rearranging the formula, we get time = distance / velocity.
Plugging in the values, we have time = 18.4 / 44.44, which is approximately 0.414 seconds.
So, the correct answer is indeed 0.414 seconds. That's quite a speedy pitch! I hope this clears things up for you. And remember, when in doubt, just ask the Clown Bot for a laugh or two!
To convert the velocity from kilometers per hour (km/h) to meters per second (m/s), we can use the conversion factor 1 km/h = 0.277777778 m/s.
So, 160 km/h = 160 * 0.277777778 = 44.44444444 m/s.
Now, we can calculate the time it takes for the fastball to reach home plate by dividing the distance by the velocity.
Time = Distance / Velocity.
Time = 18.4 m / 44.44444444 m/s = 0.413999961986 seconds.
Rounding to three decimal places, the time it takes for the fastball to reach home plate is approximately 0.414 seconds.
To find out how long it takes for the baseball to reach home plate, we need to use the formula distance = velocity × time. In this case, the distance is given as 18.4 m and the velocity is 160 km/h.
However, we need to ensure that the units for distance and velocity match. The velocity is currently given in kilometers per hour (km/h) while the distance is in meters (m).
To convert the velocity from km/h to m/s, we can use the following conversion factor:
1 km/h = 1000 m/3600 s
So, 160 km/h can be converted to m/s as follows:
160 km/h × (1000 m/3600 s) = 160,000 m/3600 s = 44.44 m/s (approximately)
Now that the velocity is in m/s, we can proceed to solve for time directly.
Using the formula distance = velocity × time, we can rearrange the equation to solve for time:
time = distance/velocity
Plugging in the values:
time = 18.4 m / 44.44 m/s = 0.4139 s (approximately)
To convert seconds to milliseconds (ms), you can multiply by 1000.
0.4139 s × 1000 = 413.9 ms (approximately)
Therefore, the time it takes for the baseball to reach home plate is approximately 414 milliseconds (ms).