4. A person kicks a rock off of a cliff with a horizontal velocity of 5.2 m/s. If the cliff is 13 m tall, how long was the rock in the air for?(Assume air resistance is negligible, a=-9.8m/s?)
4. A person kicks a rock off of a cliff with a horizontal velocity of 5.2 m/s. If the cliff is 13 m tall, how long was the rock in the air for?(Assume air resistance is negligible, a=-9.8m/s?)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Help please I'm stuck on these two problems.
Transcribed Image Text:### Physics Problems: Projectile Motion
#### Problem 4:
"A person kicks a rock off of a cliff with a horizontal velocity of 5.2 m/s. If the cliff is 13 m tall, how long was the rock in the air for? (Assume air resistance is negligible, \( a_y = -9.8 \, \text{m/s}^2 \))"
**Explanation:**
This is a classic projectile motion problem where an object is projected horizontally from a height. The goal is to determine the time of flight. The vertical motion is influenced by gravity, while the horizontal motion occurs at a constant velocity because air resistance is neglected.
#### Problem 5:
"Will Smith pushes the robot over the ledge to its doom. If the robot had a horizontal velocity of 2.3 m/s and was 17 m above ground, what was the robot's horizontal displacement? When it hit the ground?"
**Explanation:**
This scenario involves calculating both the time it takes for the robot to hit the ground and its horizontal displacement. The initial horizontal velocity and height are provided, allowing us to determine how far the robot travels horizontally before impact.
*Note: Both problems assume no air resistance and focus solely on gravitational effects.*
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As per policy i have solved the first one for you, please respect the policy and post the other questions again.
Data given -
Horizontal velocity = 5.2m/s
Height of cliff = 13m
a= -9.8m/s^2
t= ?
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