Answer:
7.5 m/s²
Explanation:
Given:
v₀ = 0 m/s
v = 30 m/s
t = 4 s
Find: a
v = at + v₀
(30 m/s) = a (4 s) + (0 m/s)
a = 7.5 m/s²
 
        
             
        
        
        
- Magnitude: 12.1 N.
- Direction: 17.0° to the 8 N force.
<h3>Explanation</h3>
Refer to the diagram attached (created with GeoGebra). Consider the 5 N force in two directions: parallel to the 8 N force and normal to the 8 N force.
 . .
 . .
The sum of forces on each direction will be the resultant force on that direction:
- Resultant force parallel to the 8 N force:  . .
- Resultant force normal to the 8 N force:  . .
Apply the Pythagorean Theorem to find the magnitude of the resultant force.
 (3 sig. fig.).
 (3 sig. fig.).
The size of the angle between the resultant force and the 8 N force can be found from the tangent value of the angle. Tangent of the angle:
 .
.
Find the size of the angle using inverse tangent:
 .
.
In other words, the resultant force is 17.0° relative to the 8 N force.