Question

an object moves 30.0-m in 3.0s if the initial velocity was 5.0m/s [north] find the acceleration at 30.0-m

Answer 1

First, we need to find the final velocity of the object using the formula:

final velocity = initial velocity + (acceleration * time)

Given:
initial velocity = 5.0 m/s
time = 3.0 s

final velocity = 5.0 m/s + (acceleration * 3.0 s)

Next, we can find the acceleration using the formula:

acceleration = (final velocity^2 - initial velocity^2) / (2 * distance)

Given:
distance = 30.0 m
final velocity = 5.0 m/s + (acceleration * 3.0 s)

Now, we substitute the values into the formula and solve for acceleration:

final velocity = 5.0 m/s + (acceleration * 3.0 s)
final velocity = 5.0 m/s + 3.0s * acceleration
final velocity = 5.0 m/s + 3.0s * acceleration

acceleration = (final velocity^2 - initial velocity^2) / (2 * distance)
acceleration = ((5.0 m/s + 3.0s * acceleration)^2 - (5.0 m/s)^2) / (2 * 30.0 m)

Solving the above equation will give us the acceleration at 30.0m.