Answer:
a. Δx = 2.59 cm 
Explanation:
mb = 0.454 kg , mp = 5.9 x 10 ⁻² kg , vp = 8.97 m / s , k = 21.0 N / m 
Using momentum conserved 
mb * (0) + mp * vp = ( mb + mp ) * vf 
vf = ( mp / mp + mb) * vp 
¹/₂ * ( mp + mb) * (mp / mp +mb) ² * vp ² = ¹/₂ * k * Δx²
Solve to Δx ' 
Δx = √ ( mp² * vp² ) / ( k * ( mp + mb )
Δx = √ ( ( 5.9 x 10⁻² kg ) ² * (8.97  m /s) ²  / [ 21.0 N / m * ( 5.9 x10 ⁻² kg + 0.454 kg ) ] 
Δx = 0.02599 m  ⇒ 2.59 cm 
 
        
             
        
        
        
Technically friction is acting on the car because it is still rubbing against the street and gravity is pulling the car down preventing it from floating??? lol
 
        
             
        
        
        
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