Question

Crickets chirpy and Milada jump from the top of a vertical cliff. Chirpy just drops and reaches the ground in 4.20 s, while Milada jumps horizontally with an initial speed of 90.0 cm/s. What is the horizontal distance traveled by Milada before reaching the ground?

1) Cannot be determined
2) 0.378 m
3) 0.756 m
4) 1.512 m

Answer 1

To find the horizontal distance traveled by Milada before reaching the ground, we need to use projectile motion. Using the formulas, we calculate the time taken to reach the ground and then multiply it by the initial horizontal velocity to find the distance. The answer is approximately 60.390 cm.

Step-by-step explanation:

To determine the horizontal distance traveled by Milada before reaching the ground, we need to use the concept of projectile motion. We can assume that there is no air resistance. Since Milada jumps horizontally, her initial horizontal velocity will remain constant throughout the motion. The time taken for her to reach the ground vertically can be determined using the formula:

time = sqrt(2h/g)

Where h is the initial height and g is the acceleration due to gravity. Plugging in the values, we have:

time = sqrt(2 * 2.2 / 9.8) ≈ 0.671 s

Now, we can calculate the horizontal distance traveled using the formula:

distance = speed * time

Since Milada jumps horizontally with an initial speed of 90.0 cm/s and the time taken is 0.671 s, we have:

distance = 90.0 cm/s * 0.671 s ≈ 60.390 cm

Therefore, the horizontal distance traveled by Milada before reaching the ground is approximately 60.390 cm.