Question

1. a car is initially driving at +5m/s to the right. it accelerates at +6m/s for 8s. what is the final velocity of the car?

givens
unknown
equation
substitute
solve

Explanation:

Step1: Identify Givens

Initial velocity \( v_i = +5 \, \text{m/s} \), acceleration \( a = +6 \, \text{m/s}^2 \), time \( t = 8 \, \text{s} \)

Step2: Select Equation

Use the kinematic equation \( v_f = v_i + at \) (final velocity formula)

Step3: Substitute Values

Substitute \( v_i = 5 \), \( a = 6 \), \( t = 8 \) into the equation: \( v_f = 5 + (6)(8) \)

Step4: Solve the Equation

Calculate \( (6)(8) = 48 \), then \( v_f = 5 + 48 = 53 \, \text{m/s} \)

Answer:

The final velocity of the car is \( 53 \, \text{m/s} \) (to the right, as positive sign indicates direction)