Unless otherwise stated, in the following problems we assume that the gravitational force is constant with 𝘨 = 9.81 m/sec2 in the MKS system and 𝘨 = 32 ft/sec2 in the U.S. Customary System.

If the object in Problem 1 has a mass of 500 kg instead of 5 kg, when will it strike the ground? [Hint: Here the exponential term is too large to ignore. Use Newton’s method to approximate the time 𝑡 when the object strikes the ground (see Appendix B).]

Solution:

Step 1:

In this problem, we have to find the time of the object to hit the ground.