Answer:
Yes
Explanation:
The mechanical energy of the car is conserved, so the sum of its potential energy (PE) and kinetic energy (KE) is constant. Assuming the picture is the one below, the car initially has an elevation of 1538 m and a speed of 15 m/s. When the car stops, its speed will be 0 m/s. The elevation at this point would be:
PE₀ + KE₀ = PE
mgh₀ + ½ mv₀² = mgh
gh₀ + ½ v₀² = gh
(9.8) (1538) + ½ (15)² = (9.8) h
h = 1549.5 m
The gas station is at an elevation of 1548 m. Therefore, the car will reach the gas station before it stops.
