A car starts from rest and accelerates for 2.3 s with an acceleration of 2.4 m/s2.
How far does it travel? Answer in units of m.
d = 0.5*a*t^2.
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To find the distance traveled by the car, we need to use the kinematic equation:
d = v₀t + (1/2)at²
where:
d = distance traveled (what we want to find)
v₀ = initial velocity (since the car starts from rest, v₀ = 0 m/s)
t = time (given as 2.3 s)
a = acceleration (given as 2.4 m/s²)
Plugging in the given values into the equation, we get:
d = 0 × 2.3 + (1/2) × 2.4 × (2.3)²
= 0 + (1/2) × 2.4 × 5.29
= 0 + 6.45
= 6.45 m
Therefore, the car travels a distance of 6.45 meters.