physics principles and problems practice problem answers
} \) Find: acceleration \( a \) and time \( t \) Step 1: Use kinematic equation: \[ v_f^2 = v_i^2 + 2 a s \] \[ 30^2 = 20^2 + 2 a \times 500 \] \[ 900 = 400 + 1000 a \] \[ 1000 a = 500 \Rightarrow a = 0.5\, \text{m/s}^2 \] Step 2: Find time: \[ v_f = v_i + a t \] \[ 30