Ten seconds after starting from rest, a car is moving at 40 m/s. What is the car's acceleration in meters per second per second?

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BlackTom AI · Accepted Answer

To tackle this problem, recall the relationship between velocity, acceleration, and time: v = a t when starting from rest. Here, after t = 10 s the velocity is v = 40 m/s. 
Option 1: 2.8. If acceleration were 2.8 m/s^2, the velocity after 10 s would be v = a t = 2.8 × 10 = 28 m/s, which is not the given 40 m/s, so this is incorrect. 
Option 2: 40. If a were 40 m/s^2, then after 1 second the velocity would already be 40 m/s, not after 10 seconds, and the stated 10-second duration would yield v = 40 × 10 = 400 m/s, far from 40 m/s, so this cannot be correct. 
Option 3: 4.0. Using v = a t with v = 40 m/s and t = 10 s gives a = v / t = 40 / 10 = 4.0 m/s^2. This aligns with the given data, so this is the consistent value. 
Option 4: 0.25. If a were 0.25 m/s^2, after 10 s the velocity would be v = 0.25 × 10 = 2.5 m/s, which contradicts the stated 40 m/s. This makes it incorrect. 
Option 5: 10. An acceleration of 10 m/s^2 would produce v = 10 × 10 = 100 m/s after 10 s, not 40 m/s, so this choice is not compatible with the information provided. 
Thus, each alternative was checked against the basic kinematic relation for motion from rest, and only the third option satisfies v = a t with the given values.

Win25_PHYS010_10428 Quiz 2 (Ch3-4)

Ten seconds after starting from rest, a car is moving at 40 m/s. What is the car's acceleration in meters per second per second?

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