A stone is thrown straight up with a speed of 30 m/s. How long will it take to r

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Question: A stone is thrown straight up with a speed of 30 m/s. How long will it take to reach its highest point? (Assume g = 9.8 m/s²)

Options:

Correct Answer: 2 s

Solution:

Time to reach the highest point is given by t = v/g, where v = 30 m/s and g = 9.8 m/s², so t = 30 / 9.8 ≈ 3.06 s.

A stone is thrown straight up with a speed of 30 m/s. How long will it take to reach its highest point? (Assume g = 9.8 m/s²)

A stone is thrown straight up with a speed of 30 m/s. How long will it take to reach its highest point? (Assume g = 9.8 m/s²)

Step 1: Identify the initial speed of the stone, which is given as 30 m/s.
Step 2: Identify the acceleration due to gravity, which is given as g = 9.8 m/s².
Step 3: Understand that the time to reach the highest point can be calculated using the formula t = v / g.
Step 4: Substitute the values into the formula: t = 30 m/s / 9.8 m/s².
Step 5: Perform the division: 30 divided by 9.8 equals approximately 3.06.
Step 6: Conclude that it will take about 3.06 seconds for the stone to reach its highest point.

Kinematics – The question tests the understanding of the motion of objects under the influence of gravity, specifically the time taken to reach the maximum height when thrown vertically.
Equations of Motion – It involves the application of the basic kinematic equation relating initial velocity, acceleration due to gravity, and time.