Answer:
u = 8 m/s
a = 4 m/s²
Explanation:
The body moves at constant acceleration. Using kinematic equations, also known as SUVAT, we can use the data to write a system of equation. The kinematic equation we'll use is:
s = ut + ½ at²
where
- s is displacement (the final position relative to the initial position)
- u is the initial velocity
- a is the acceleration
- t is time
After 1 second, the body is 10 m past point A.
10 = u (1) + ½ a (1)²
10 = u + ½ a
After 2 seconds, the body is 10 + 14 = 24 m past point A.
24 = u (2) + ½ a (2)²
24 = 2u + 2a
Solve the system of equations. Double the first equation and subtract from the second.
24 − 2(10) = 2u + 2a − 2(u + ½ a)
4 = a
a = 4 m/s²
Substituting into the second equation:
24 = 2u + 2 (4)
u = 8 m/s
