A body is thrown vertically upwards with a velocity of 20 m/s. How high will it

A body is thrown vertically upwards with a velocity of 20 m/s. How high will it rise before coming to rest? (g = 10 m/s²)

A body is thrown vertically upwards with a velocity of 20 m/s. How high will it rise before coming to rest? (g = 10 m/s²)

Correct Answer: 20 m

Step 1: Identify the initial velocity (u) of the body. In this case, u = 20 m/s.
Step 2: Identify the final velocity (v) when the body comes to rest. Here, v = 0 m/s.
Step 3: Identify the acceleration due to gravity (g). Given g = 10 m/s².
Step 4: Use the formula v² = u² - 2gh to find the height (h).
Step 5: Substitute the values into the formula: 0 = (20)² - 2*10*h.
Step 6: Simplify the equation: 0 = 400 - 20h.
Step 7: Rearrange the equation to solve for h: 20h = 400.
Step 8: Divide both sides by 20 to find h: h = 400 / 20.
Step 9: Calculate the height: h = 20 m.

Kinematics – The question tests the understanding of kinematic equations, specifically the relationship between initial velocity, final velocity, acceleration, and displacement in vertical motion.
Gravitational Acceleration – It assesses the application of gravitational acceleration (g) in calculations involving objects in free fall or projected motion.