When the speed of a car is v m/s, its braking distance is d m. d is directly proportional to the square of v. When the speed of the car is 8 m/s the braking distance is 5 m. Find the formula for d in terms of v and hence find the braking distance when the speed of the car is 40 m/s.
- Find the formula for d in terms of v and hence find the braking distance when the speed of the car is 40 m/s.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.
- [3] d = 5v²/64
- 125
- M1 for d=kv², or for 5 = k × 64;
- B1 for k = 5/64, or for d/5 = v²/8²
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →