Final answer:
To calculate the required power to get to Tim's, you need to calculate the change in kinetic energy and divide it by the time taken. The power required is 9 kW.
Step-by-step explanation:
Power is the rate at which work is done or energy is transferred. It can be calculated using the formula P = W/t, where P is power, W is work, and t is time.
In this case, the work done is the change in kinetic energy of the student and electric bike.
The mass of the system is 100.0 kg and the change in velocity is from rest to 30.0 m/s in 5.00 s.
First, we need to calculate the change in kinetic energy using the formula KE = 0.5 * m * v^2, where KE is kinetic energy, m is mass, and v is velocity.
Plugging in the values, we get
KE = 0.5 * 100.0 * (30.0)^2
= 45,000 J.
Next, we can calculate the power using the formula P = W/t.
Substituting the values, we get
P = 45,000 / 5.00
= 9,000 W
= 9 kW.