111k views
3 votes
A cop claims you passed him at more than 60mph (27.8m/s), 200 meters from a red light that changed green. You drive a 1970 VW beetle convertible that accelerates at a maximum of 1.5 m/s2. When you go before the traffic court, do you beat the ticket? Please show how you did it :)

User Webbyfox
by
7.5k points

1 Answer

3 votes

Step-by-step explanation:

Given:

Δx = 200 m

v₀ = 0 m/s

a = 1.5 m/s²

Find: v

v² = v₀² + 2aΔx

v² = (0 m/s)² + 2 (1.5 m/s²) (200 m)

v = 24.5 m/s

At your maximum acceleration, the top speed you could have reached is 24.5 m/s, which is less than 27.8 m/s.

User Kosmas Papadatos
by
8.4k points