Problema Solution
A googoo bug jumps from the ground at a velocity of 20 ft/ sec. How much time will it take until it lands back on the ground?
Answer provided by our tutors
A formula used to model the vertical motion
h(t) = v0*t + (a*t^2)/2
h(t) = the height
t = time
v0 = 20 ft/sec the initial velocity
a = -32 ft/2ec^2 acceleration due to gravity
h(t) = 20t - (32t^2)/2
h(t) = 20t - 16t^2
we need to find t such that t <>0 (because at the start moment t= 0 and h = 0) and h(t) = 0
20t - 16t^2 = 0
by solving the equation we find
t = 1.25 sec
click here to see the step by step solution of the equation
the goo goo bug will land back on the ground after 1.25 seconds.