A dart is thrown horizontally toward X at 30 m/s as shown. It hits Y 0.29 s later. The distance XY in centimeters is:

d = 0.5g^t^2. g = 9.8 m/s^2, t = 0.29 s.

Solve for d.

Multiply your answer by 100 to convert to cm.

To find the distance XY in centimeters, we need to use the equation for horizontal motion. In this case, the dart is thrown horizontally at a speed of 30 m/s and hits Y 0.29 seconds later.

The equation we can use is: Distance = Speed × Time

Since the dart is thrown horizontally, the vertical component of the velocity is zero. Therefore, the only motion we need to consider is in the horizontal direction.

Given that the speed is 30 m/s and the time is 0.29 seconds, we can calculate the distance as follows:

Distance = 30 m/s × 0.29 s

Distance = 8.7 meters

We now need to convert this distance from meters to centimeters. Since 1 meter is equal to 100 centimeters, we can multiply the distance by 100 to convert it to centimeters:

Distance in centimeters = 8.7 meters × 100 cm/m

Distance in centimeters = 870 centimeters

Therefore, the distance XY is equal to 870 centimeters.