Question

A body of mass m is thrown at an angle to the horizontal with the initial velocity `v_0`. Assuming the air drag to be negligible, find:
(a) the momentum increment `Deltap` that the body acquires over the first t seconds of motion,
(b) the modulus of the momentum increment `Deltap` during the total time of motion.

Answer 1

We have `Deltavecp=int vecFdt`
`=underset(0)overset(t)intmvecgdt=mvecg t` (1)
(b) Using the solution of problem 28(b), the total time of motion, `pi=-(2(vecv_0*vecg))/(g^2)`
Hence using `t=tau` in (1)
`|Deltavecp|=mg tau`
`=-2m(vecv_0*vecg)//g`(`vecv_0*vecg` is `-ve`)