Question

Estrella was driving at 20 m/s and accelerated at 2.5 m/s2 for 3 s. How far did she drive while accelerating?

a) 64 m
b) 71 m
c) 82 m
d) 68 m​

Answer 1

To find the distance Estrella drove while accelerating, use the formula: distance = initial velocity * time + (1/2) * acceleration * time^2. Plugging in the given values, the distance is equal to 71.25 meters.

Step-by-step explanation:

To solve this problem, we can use the formula:

distance = initial velocity * time + (1/2) * acceleration * time^2

Given that the initial velocity, u, is 20 m/s, the acceleration, a, is 2.5 m/s^2, and the time, t, is 3 s, we can substitute these values into the formula.

distance = (20 m/s) * (3 s) + (1/2) * (2.5 m/s^2) * (3 s)^2

distance = 60 m + (1/2) * 2.5 m/s^2 * 9 s^2

distance = 60 m + 11.25 m

distance = 71.25 m

Therefore, Estrella drove a distance of 71.25 meters while accelerating.