How you calculate acceleration

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Multiple Choice

How you calculate acceleration

Explanation:
Acceleration is how quickly velocity changes over time. The general relation is a = Δv / Δt, meaning the change in velocity divided by the time over which that change happens. In many simple cases you start from rest, so the initial velocity is zero and Δv equals the final velocity v. Then acceleration becomes a = v / t. That’s why this form is the best choice here—it matches how you’d compute acceleration when you know how fast you end up after a certain time from rest. If you don’t start from rest, use a = (v − u) / t, where u is the initial velocity. The other options don’t fit units or the correct relationship: velocity divided by time isn’t generally acceleration unless starting from rest; distance formulas involving acceleration require additional factors (and don’t directly give acceleration); time isn’t obtained by multiplying velocity and acceleration because the units don’t line up. Example: starting from rest and reaching 20 m/s in 4 s gives a = 20 / 4 = 5 m/s^2.

Acceleration is how quickly velocity changes over time. The general relation is a = Δv / Δt, meaning the change in velocity divided by the time over which that change happens.

In many simple cases you start from rest, so the initial velocity is zero and Δv equals the final velocity v. Then acceleration becomes a = v / t. That’s why this form is the best choice here—it matches how you’d compute acceleration when you know how fast you end up after a certain time from rest.

If you don’t start from rest, use a = (v − u) / t, where u is the initial velocity. The other options don’t fit units or the correct relationship: velocity divided by time isn’t generally acceleration unless starting from rest; distance formulas involving acceleration require additional factors (and don’t directly give acceleration); time isn’t obtained by multiplying velocity and acceleration because the units don’t line up.

Example: starting from rest and reaching 20 m/s in 4 s gives a = 20 / 4 = 5 m/s^2.

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