To find the speed when the initial velocity is 15 m/s and the acceleration is 2 m/s², we can use the formula for uniformly accelerated motion:
v = u + a * t
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Given: Initial velocity (u) = 15 m/s Acceleration (a) = 2 m/s²
We want to find the speed, so we'll assume the initial velocity is in the positive direction (since no direction is specified).
For the first case, let's assume the time (t) is not provided. So we won't be able to find the exact speed, but we can find the expression for the speed. Plugging in the values, we have:
v = 15 m/s + 2 m/s² * t v = 15 m/s + 2t m/s
So the speed after time t would be given by the expression 15 m/s + 2t m/s.
For the second case, where we want to find the speed after 25 seconds, we can plug in the values into the expression:
v = 15 m/s + 2 m/s² * 25 s v = 15 m/s + 50 m/s v = 65 m/s
So the speed after 25 seconds would be 65 m/s.