1. Problem 1: Calculate the acceleration and distance of a car accelerating uniformly from rest to 20 m/s in 5 seconds. Step 1: Given initial velocity $u = 0$ m/s, final velocity $v = 20$ m/s, and time $t = 5$ s. Step 2: Calculate acceleration using formula $a = \frac{v - u}{t} = \frac{20 - 0}{5} = 4$ m/s². Step 3: Calculate distance traveled using formula $s = ut + \frac{1}{2}at^2 = 0 \times 5 + \frac{1}{2} \times 4 \times 5^2 = 2 \times 25 = 50$ meters. 2. Problem 2: Calculate the gravitational potential energy of a 2 kg object raised to 10 meters. Step 1: Given mass $m = 2$ kg, height $h = 10$ m, and gravitational acceleration $g = 9.8$ m/s². Step 2: Use formula for gravitational potential energy $U = mgh = 2 \times 9.8 \times 10 = 196$ joules. 3. Problem 3: Calculate kinetic energy of a 5 kg object moving at 10 m/s. Step 1: Given mass $m = 5$ kg and velocity $v = 10$ m/s. Step 2: Use formula for kinetic energy $K = \frac{1}{2}mv^2 = \frac{1}{2} \times 5 \times 10^2 = 0.5 \times 5 \times 100 = 250$ joules. Final answers: - Acceleration = 4 m/s² - Distance traveled = 50 m - Gravitational potential energy = 196 J - Kinetic energy = 250 J