Explanation:
3. A person who is initially stationary is eventually walking
at a speed of 1.5 m/s after an acceleration of 0.5 m/s?,
calculate the distance it takes them to reach this speed.
Given parameters:
Initial velocity = 0m/s
Final velocity = 1.5m/s
Acceleration = 0.5m/s
Unknown:
Distance = ?
Solution:
To solve this problem, we apply the relevant motion equation;
V² = U² + 2aS
where V is the final velocity
U is the initial velocity
a is the acceleration
S is the distance
Input the parameters;
1.5² = 0 + 2 x 0.5 x S
2.25= S
The distance to reach this speed is 2.25m
4. A lorry pulls forward after initially being stationary, it
takes the lorry 40 m to reach a speed of 8 m/s, calculate the
lorry's acceleration.
Given parameters:
Initial velocity = 0m/s
Final velocity = 8m/s
Distance = 40m
Unknown:
Acceleration = ?
Solution:
V² = U² + 2aS
Input the parameters and solve;
8² = 0² + 2 x a x 40
64 = 80a
a = [tex]\frac{64}{80}[/tex] = 0.8m/s²
7. A person begins moving after initially being stationary, the person
accelerates at 0.5m/s2 over a distance of 9m what is their final speed
Given parameters:
Initial velocity = 0m/s
acceleration = 0.5m/s²
distance = 9m
Unknown:
Final velocity = ?
Solution:
V² = U² + 2aS
Input the parameters and solve;
V² = 0² + 3 x 0.5 x 9
V² = 13.5
V = 3.7m/s
