Andrew is driving his van to deliver groceries in Elmvale. As he travels along Hwy 92, a fox stops on the road. Andrew is travelling at 75 km/h and is 42 m away from the fox when he applies his brakes. It takes him 3.4 s to stop.
a) How far did Andrew travel before stopping?
b) Did Andrew hit the fox? Explain your answer by including a calculation.
c) If a typical van is 4.2 m in length, how many van lengths did it take Andrew to stop?
Δd = v2+v1/2 (Δt)
The Attempt at a Solution
v1 = 75 km/h
convert 75 km/h to m/s = 20.8 m/s
Δd = 42 m
Δt = 3.4 s
a) Δd = v2+v1/2 (Δt)
Δd = (0 m/s + 20.8 m/s) /2 x (3.4s)
Δd = 35.36 m
Andrew travelled 35.36 m before stopping.
b) 42 m - 35.36 m = 6.64 m
Andrew stoped 6.64 m in front of the fox and therefore did not hit it.
c) 35.36 m / 4.2 m = 8.4 van lengths
It took approximately 8 van lengths for Andrew to stop.
Please look over this and tell me if it is correct. Thanks :)