#
GCSE Questions: Forces

**Q30**. The photo shows an electric super-car.

(a) The battery in an electric car needs to be recharged.

Suggest two factors that affect the distance an electric car can travel before the battery needs to be recharged.

**[2 marks]**

(b)

(i) Write down the equation which links acceleration (a), change in velocity (Δv) and time taken (*t*).

**[1 mark]**

(ii) The maximum acceleration of the car is 20 m/s^{2} .

Calculate the time taken for the speed of the car to change from 0 m/s to 28 m/s at its maximum acceleration.

**[3 marks]**

(c) In a trial run, the car accelerates at 10 m/s^{2} until it reaches its final velocity.

Given that the distance travelled by the car = 605 m and the initial velocity of the car = 0 m/s, calculate the final velocity of the car.

**[3 marks]**

(d)

(i) Write down the equation which links distance (s), force (F) and work done (W).

**[1 mark]**

(ii) When travelling at its maximum speed the air resistance acting on the car is 4000 N.

Calculate the work done against air resistance when the car travels a distance of 7.5 km at its maximum speed.

**[3 marks]**

**[13 Marks TOTAL]**