1. a = (v_f - v_i) / t = (20 m/s - 0 m/s) / 5 s = 4 m/s²
2. a = (v_f - v_i) / t = (0 m/s - 30 m/s) / 6 s = -5 m/s²
3. v_f = v_i + a*t = 0 m/s + (2 m/s²)(10 s) = 20 m/s
4. t = (v_f - v_i) / a = (25 m/s - 0 m/s) / 5 m/s² = 5 s
5. v_i = v_f - a*t = 15 m/s - (3 m/s²)(4 s) = 3 m/s
6. a = (v_f² - v_i²) / (2*d) = ((20 m/s)² - (0 m/s)²) / (2 * 50 m) = 4 m/s²
7. d = v_i*t + (1/2)*a*t² = (10 m/s)(3 s) + (1/2)(2 m/s²)(3 s)² = 30 m + 9 m = 39 m
8. v_f² = v_i² + 2*a*d → v_f = √(v_i² + 2*a*d) = √((5 m/s)² + 2*(4 m/s²)*(10 m)) = √(25 + 80) = √105 ≈ 10.25 m/s
9. a = (v_f - v_i) / t = (0 m/s - 25 m/s) / 5 s = -5 m/s²
10. d = (v_i + v_f)/2 * t = (15 m/s + 5 m/s)/2 * 4 s = 10 m/s * 4 s = 40 m
Parent Tip: Review the logic above to help your child master the concept of acceleration worksheet with answers.
