My maximum braking acceleration is −4.5m/s 2 , and I must stop in 3.5s. Calculate my top speed.

Sure, here's how you can calculate the top speed:

1. First, understand the given values: Maximum braking acceleration

Sure, here's how you can calculate the top speed:

1. First, understand the given values:

   • Acceleration (a) = -4.5 m/s² (negative because it's deceleration or slowing down)
   • Time (t) = 3.5 s

2. We need to find the initial velocity (v), which is the top speed in this case.

3. We can use the equation of motion: v = u + at, where:

   • v is the final velocity (which is 0 in this case because the object comes to a stop),
   • u is the initial velocity (which we are trying to find),
   • a is the acceleration, and
   • t is the time.

4. Rearranging the equation to find u (initial velocity or top speed), we get: u = v - at

5. Substituting the given values into the equation: u = 0 - (-4.5 m/s² * 3.5 s)

6. Calculate the value: u = 4.5 m/s² * 3.5 s = 15.75 m/s

So, the top speed is 15.75 m/s.