An object reaches a velocity of 147 m/s in 15 s at a uniform acceleration in a vertical plane. Calculate the size of the uniform acceleration. Also determine whether it was an upward or downward movement from rest
To calculate the size of the uniform acceleration, we can use the equation:
v = u + at
Where:
v = final velocity = 147 m/s
u = initial velocity = 0 m/s (since it was a rest)
t = time = 15 s
Therefore, the equation becomes:
147 = 0 + a(15)
Simplifying the equation:
147 = 15a
To solve for a, divide both sides of the equation by 15:
a = 147/15
a ≈ 9.8 m/s²
The size of the uniform acceleration is approximately 9.8 m/s².
To determine whether it was an upward or downward movement from rest, we need to know the direction of the positive values for velocity and acceleration. If both are positive, it means it was an upward movement from rest. If both are negative, it means it was a downward movement from rest.
In this case, the object starts from rest (u = 0) and reaches a positive velocity (v = 147 m/s). Since both values are positive, it means it was an upward movement from rest.