Motion in 2 dimension (undergrad level)

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To solve the problem of the grenade throw in an action-adventure film scenario, the initial velocity of the grenade must account for the relative motion of both cars. The hero's car is traveling at 79.0 km/h while the enemy's car is moving at 116 km/h, creating a relative velocity of 37 km/h. The grenade is thrown at a 45-degree angle, and the distance to the enemy's car is 16.1 meters. A proper analysis using projectile motion equations is necessary to determine the required initial velocity of the grenade. The discussion emphasizes the importance of understanding relative velocity in two-dimensional motion problems.
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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.


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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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