5. You are driving a 3500 kg truck home from school one day when you notice a tree on the highway ahead. You slam on your brakes to avoid hitting the tree.Your brakes exert an average force of 2.0times 10^4 N of force leaving a skid mark that is 54.69 m long Use this information to calculate the initial speed of the truck in m/s & km/h

Here's how to calculate the initial speed of the truck:<br /><br />**1. Understand the Physics**<br /><br />The work done by the brakes is equal to the change in the truck's kinetic energy. Since the truck comes to a stop, the final kinetic energy is zero.<br /><br />* Work = Force x Distance<br />* Change in Kinetic Energy = Final Kinetic Energy - Initial Kinetic Energy = 0 - (1/2)mv²<br /><br />Therefore: Force x Distance = -(1/2)mv²<br /><br />**2. Solve for Initial Velocity (v)**<br /><br />* Force (F) = 2.0 x 10⁴ N<br />* Distance (d) = 54.69 m<br />* Mass (m) = 3500 kg<br /><br />Rearranging the equation: v² = -2(F*d)/m<br /><br />Substituting the values: v² = -2 * (2.0 x 10⁴ N * 54.69 m) / 3500 kg<br /><br />v² = 624.97 m²/s²<br /><br />v = √624.97 m²/s² <br />v ≈ 25 m/s<br /><br />**3. Convert to km/h**<br /><br />* 1 m/s = 3.6 km/h<br /><br />Therefore: v ≈ 25 m/s * 3.6 km/h/m/s ≈ 90 km/h<br /><br />**Answer:**<br /><br />The initial speed of the truck was approximately 25 m/s or 90 km/h.<br />