Question

An automobile manufacturer claims that its product will travel 0.85 km in 4.9 s, starting from rest. What is the magnitude of the constant acceleration required to go this?

A) 0.172 m/s²
B) 1.0 m/s^2
C) 0.0347 m/s²
D) 17.2 m/s²

Answer 1

The magnitude of the constant acceleration required for the automobile to travel a distance of 0.85 km in 4.9 s is 0.172 m/s².

Step-by-step explanation:

To find the magnitude of the constant acceleration required for the automobile to travel a distance of 0.85 km in 4.9 s, we can use the kinematic equation: d = vt + 1/2at^2, where d is the distance, v is the initial velocity, t is the time, and a is the acceleration.

Since the automobile starts from rest, the initial velocity is 0. Therefore, the equation simplifies to: d = 1/2at^2.

Plugging in the values, we have: 0.85 km = 1/2a(4.9 s)^2.

Simplifying the equation, we get: a = (2 * 0.85 km) / (4.9 s)^2.

Converting the distance to meters and solving the equation, we find that the magnitude of the constant acceleration required is approximately 0.172 m/s².