Question

Crickets chirpy and Milada jump from the top of a vertical cliff. Chirpy just drops and reaches the ground in 3.70 s, while Milada jumps horizontally with an initial speed of 98.0 cm/s. What is the horizontal distance traveled by Milada before reaching the ground?

1) Cannot be determined
2) 0.98 m
3) 1.96 m
4) 3.92 m

Answer 1

The horizontal distance traveled by Milada before reaching the ground is 52.392 m.

Step-by-step explanation:

To find the horizontal distance traveled by Milada before reaching the ground, we need to calculate the time it takes for Milada to reach the ground first. Chirpy drops and reaches the ground in 3.70 s, so we can use this time to calculate the height of the cliff using the formula h = 1/2gt^2, where h is the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. Substituting the given values, we have h = 1/2 * 9.8 * (3.70)^2 = 52.392 m.

Since Milada jumps horizontally, the horizontal distance traveled remains unchanged regardless of the height. Therefore, the horizontal distance traveled by Milada before reaching the ground is 52.392 m.