acceleration velocity problem.

kpx001

Junior Member
Joined
Mar 6, 2006
Messages
119
a ball is thrown straight up into the air from a point 64 feet above the ground with an intial speed of 48 feet/sec. what is the impact speed (in feet per second) when it strike the ground? [ignore air resistance, use g= 32 for the numerical value of the gravitational constant.]
basicly what i think i have to do
a(t) = -32
v(t) = -32t + 48
r(t) = -16t^2 + 48t + 64 or 64 = -16t^2 + 48t ??

from there to find impact speed i would have to find when the position is is 0. so i would factor -(16t^2 + 48t + 64) ?? then get ||V(t)|| ?
 
kpx001 said:
a ball is thrown straight up into the air from a point 64 feet above the ground with an intial speed of 48 feet/sec. what is the impact speed (in feet per second) when it strike the ground? [ignore air resistance, use g= 32 for the numerical value of the gravitational constant.]
basicly what i think i have to do
a(t) = -32
v(t) = -32t + 48
r(t) = -16t^2 + 48t + 64 .... Correct or 64 = -16t^2 + 48t ??

from there to find impact speed i would have to find when the position is is 0. so i would factor -(16t^2 + 48t + 64) Where did you get that ?? then get ||V(t)|| ?
 


Find t for r(t) = 0.

(Note that all coefficients are multiples of 16, so you could start by dividing both sides by 16.)

Put that value into v(t).

 
Top