Answer
v = 180 kph
Velocity of the car on the first hill = 180 kph
Explanation
The kinetic energy of a body is given as
K.E = ½ mv²
For this question,
K.E = Kinetic Energy = 437,500 J
m = mass = 350 kg
v = velocity = ?
K.E = ½ mv²
Making v the subject of formula,
v = (2K/m)^(½)
K.E = ½ mv²
437,500 = ½ (350) v²
437,500 = 175v²
We can rewrite this as
175v² = 437,500
Divide both sides by 175
(175v²/175) = (437,500/175)
v² = 2500
We can then take the square root of both sides
√(v²) = √(2500)
v = 50 m/s
To convert this to kilometer/hour or kph, we need to note that
1,000 meters = 1 km
3600 s = 1 hour
[tex]\begin{gathered} v=\frac{50m}{s} \\ v=50\frac{m}{s}\times\frac{1\operatorname{km}}{1000m}\times\frac{3600s}{1hr} \\ v=180\text{kph} \end{gathered}[/tex]Hope this Helps!!!
