Kinematics: Finding Acceleration Due to Gravity on a Planet with No Atmosphere

[krazykaci]

An object is released from rest on a planet that has no atmosphere. The object falls freely for 2.66m in the first second. What is the magnitude of the acceleration due to gravity on the planet? Answer in units of m/s^2

What kinematic equation would I use for this?

 

[Office_Shredder]

D=v₀t + 1/2 *g*t² might be a good place to start.

You have time, initial velocity, and distance. So solve for acceleration (g)

 

[kyle8921]

To calculate the magnitude of the acceleration due to gravity on a planet with no atmosphere, we can use the kinematic equation: d = ½at^2, where d is the distance traveled, a is the acceleration, and t is the time. Since the object falls freely, we can assume that the initial velocity (vi) is 0. Plugging in the given values, we get 2.66m = ½a(1s)^2. Solving for a, we get a = 2(2.66m)/(1s)^2 = 5.32m/s^2. Therefore, the magnitude of the acceleration due to gravity on this planet is 5.32m/s^2.