Motion in 2 dimension (undergrad level)

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SUMMARY

The problem involves calculating the initial velocity required for a grenade thrown from a moving car to hit a target in another moving car. The hero's car travels at 79.0 km/h, while the enemy's car is moving at 116 km/h, with a distance of 16.1 meters between them. The grenade must be thrown at a 45-degree angle relative to the hero's car. The solution requires applying projectile motion equations and considering relative velocities to determine the necessary initial velocity of the grenade.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of relative velocity concepts
  • Familiarity with kinematic equations
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the equations of motion for projectile trajectories
  • Learn how to calculate relative velocity in multi-object systems
  • Explore kinematic equations in two dimensions
  • Practice problems involving angles and initial velocities in projectile motion
USEFUL FOR

Undergraduate physics students, educators teaching mechanics, and anyone interested in applying physics concepts to real-world scenarios such as motion in two dimensions.

wenkang
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Homework Statement



In an action-adventure film, the hero is supposed to throw a grenade from his car, which is going 79.0 km/h , to his enemy's car, which is going 116 km/h . The enemy's car is 16.1m in front of the hero's when he let's go of the grenade. If the hero throws the grenade so its initial velocity relative to him is at an angle of 45 above the horizontal, what should the magnitude of the initial velocity be? The cars are both traveling in the same direction on a level road. You can ignore air resistance.


Homework Equations





The Attempt at a Solution

 
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I will gladly assist you, however can you please show an attempt as per PF guidelines.

Jared
 
I am totally stucked at this question, I tried to minus 37 km/h as relative velocity of the bomb but it doesn't work
 

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