An object is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 10 m/s²)
Correct Answer: 4 seconds
- Step 1: Identify the height from which the object is dropped. In this case, the height (h) is 80 meters.
- Step 2: Identify the acceleration due to gravity (g). Here, g is given as 10 m/s².
- Step 3: Use the formula for the distance fallen: h = 0.5 * g * t².
- Step 4: Substitute the known values into the formula: 80 = 0.5 * 10 * t².
- Step 5: Simplify the equation: 80 = 5 * t² (since 0.5 * 10 = 5).
- Step 6: To isolate t², divide both sides by 5: t² = 80 / 5.
- Step 7: Calculate the right side: t² = 16.
- Step 8: To find t, take the square root of both sides: t = √16.
- Step 9: Calculate the square root: t = 4 seconds.
- Free Fall – Understanding the motion of an object under the influence of gravity without any initial velocity.
- Kinematic Equations – Application of kinematic equations to solve for time, distance, and acceleration in uniformly accelerated motion.
