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
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.