Final answer:
The impulse experienced by a 1050 kg car that accelerates from 54 km/h (15 m/s) to 90 km/h (25 m/s) is calculated as 10500 kg·m/s.
Step-by-step explanation:
The student is asking to calculate the impulse experienced by a car as it accelerates from one velocity to another. Impulse can be defined as the change in momentum of an object when a force is applied over a time interval and is given by the equation:
Impulse (J) = Δp = m(v_f - v_i), where m is the mass of the object, v_f is the final velocity, and v_i is the initial velocity.
First, we need to convert the velocities from km/h to m/s by multiplying them by the conversion factor 1000/3600.
The initial velocity v_i is 54 km/h, which converts to 15 m/s.
The final velocity v_f is 90 km/h, which converts to 25 m/s.
With the mass of the car being 1050 kg, the impulse experienced by the car can be calculated as follows:
J = m(v_f - v_i)
= 1050 kg * (25 m/s - 15 m/s)
= 1050 kg * 10 m/s
= 10500 kg·m/s
Therefore, the impulse experienced by the car is 10500 kg·m/s.