Well, I'm not sure how to end this problem. Is it correct how I approached it?(adsbygoogle = window.adsbygoogle || []).push({});

A basketball leaves a player's hands at a height of 2.1 m above the floor. The basket is 2.6 m above the floor. The player likes to shoot the ball at a 35* (degree) angle. If the shot is made from a horizontal distance of 12.0 m and must be accurate to +or- 0.22 m (horizontally), what is the range of initial speeds allowed to make the basket?

vx = v1cos35*

vy = v1sin35*

t = dx/v1cos35*

dx = 12.0 m

d = 0.5 m

d = v1t + 1/2gt^2

0.5 m = v1sin35* x (12.0m/v1cos35*) + 1/2(-9.8m/s^2)(12.0m/v1cos35*)^2

All cleaned up all that work and got v1 = 11 m/s.

dx = 12.0m + 0.22m = 12.22 m

dx = 12.0m - 0.22m = 11.78 m

t = dx/vx

t = 12.0m/11m/s = 1.1 seconds

dx = vxt

12.22m = vx(1.1seconds)

vx = 11.1 m/s

11.78m = vx(1.1seconds)

vx = 10.7 m/s

vx = v1cos35*

11.1 m/s = v1cos35* = 14 m/s

10.7 m/s = v1cos35* = 13 m/s

range of initial speeds = 13-14 m/s

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Projectile Motion Help, Please?

**Physics Forums | Science Articles, Homework Help, Discussion**