Problem: A ball is shot from a compressed air gun at twice its terminal speed.a)What is the ball's initial acceleration, as a multiple of g, if it is shot straight up?b) What is the ball's initial acceleration, as a multiple of g, if it is shot straight down?

FREE Expert Solution

Drag force on the ball is given by:

D=12CρAv2

We'll also use Newton's second law:

ΣF=ma

This implies that:

D = ma = mg

The velocity of the ball is twice its terminal velocity.

D2vτ=12CρA(2v2)=4(12CρAv2)

D2v = 4D = 4mg

89% (113 ratings)
View Complete Written Solution
Problem Details

A ball is shot from a compressed air gun at twice its terminal speed.


a)What is the ball's initial acceleration, as a multiple of g, if it is shot straight up?
b) What is the ball's initial acceleration, as a multiple of g, if it is shot straight down?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Drag Force & Terminal Velocity concept. If you need more Drag Force & Terminal Velocity practice, you can also practice Drag Force & Terminal Velocity practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Navarro Perez's class at SDSU.