Final answer:
The car will skid a distance of 240 m with locked brakes at a speed of 88 km/hr.
Step-by-step explanation:
When a car skids with locked brakes, the distance it skids depends on its initial speed. In this case, the car is moving at 44 km/hr and skids 15 m. To find out how far the car will skid at 88 km/hr, we can use the concept of kinetic energy. Kinetic energy is given by the formula KE = 1/2mv^2, where m is the mass of the car and v is its velocity. Since the mass is not provided, let's assume it is constant. By comparing the kinetic energy at both speeds, we can set up the equation as follows:
1/2mv₁² = 1/2mv₂²
Where v₁ = 44 km/hr and v₂ = 88 km/hr. By solving this equation, we can find the ratio of the distances the car will skid at the two speeds.
Let's calculate the ratio:
(v₂/v₁)² = (88/44)² = 4² = 16
So, the car will skid 16 times the distance it skids at 44 km/hr when its speed is doubled to 88 km/hr. Therefore, the car will skid 16 times 15 m, which is equal to 240 m.