- The first calculation is correct: using $v = v_0 + at$ with $v_0 = 35.8 \, \text{m/s}$, $a = -9.8 \, \text{m/s}^2$, and $t = 2.50 \, \text{s}$ gives $v = 11.3 \, \text{m/s}$ upward.
- The second calculation contains an error: the given initial velocity is $v_0 = 0 \, \text{m/s}$, but the solution incorrectly uses $v_0 = 35.8 \, \text{m/s}$ from the first problem.
- Correcting the second problem: using $v = v_0 + at$ with $v_0 = 0 \, \text{m/s}$, $a = -9.8 \, \text{m/s}^2$, and $t = 7.80 \, \text{s}$ gives $v = -76.44 \, \text{m/s}$ (or approximately $-76.4 \, \text{m/s}$). The answer should be negative to indicate downward direction, and the magnitude is incorrect due to the wrong initial velocity.
Parent Tip: Review the logic above to help your child master the concept of acceleration due to gravity worksheet.