Answer:
a) S = ut + (1/2)at^2
b) S = (v^2 - u^2) / (2a)
Step-by-step explanation:
a) If u (initial velocity), t (time), and a (acceleration) are known, you can use the equation of motion:
S = ut + (1/2)at^2
where:
S is the distance traveled.
u is the initial velocity.
t is the time.
a is the acceleration.
b) If u (initial velocity), v (final velocity), and a (acceleration) are known, you can use the equation of motion:
S = (v^2 - u^2) / (2a)
where:
S is the distance traveled.
u is the initial velocity.
v is the final velocity.
a is the acceleration.
It's important to note that these equations assume constant acceleration. If the acceleration is not constant, more complex equations or numerical methods may be required to find the distance traveled.