Question

question 2 i am driving at 76m/s when i hit the brakes and decrease my speed by -9m/s/s. how fast am i going in just 4 seconds?

Explanation:

Step1: Identify the formula for final velocity

The formula for final velocity \( v \) in uniformly accelerated motion is \( v = u + at \), where \( u \) is the initial velocity, \( a \) is the acceleration, and \( t \) is the time.

Step2: Substitute the given values

Given \( u = 76 \, \text{m/s} \), \( a = -9 \, \text{m/s}^2 \) (negative because it's deceleration), and \( t = 4 \, \text{s} \).
Substitute these values into the formula: \( v = 76 + (-9) \times 4 \)

Step3: Calculate the result

First, calculate \( (-9) \times 4 = -36 \).
Then, \( v = 76 - 36 = 40 \, \text{m/s} \).

Answer:

The final speed is \( 40 \, \text{m/s} \).