Answer :
A ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m is 2.59s
What is speed?
Speed is the time rate at which an object is moving along the path, while the velocity is the rate and direction of an object’s movement. Put the another way, speed is a scalar value, while the velocity is a vector.
The mathematical calculation for the speed is relatively straightforward, wherein the average speed of an object is calculated by dividing the distance traveled by the time it took the object to travel the distance. Velocity, on other hand, is more complicated mathematically and can be calculated in different ways, depending on what information is available about the object’s motion. In its simplest form, the average velocity is calculated by dividing change in position (Δr) by change in time (Δt)
a ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m. The equation for the height of the ball as a function of time is
y f =y i +v i -1/2g[tex]t^{2}[/tex]
0=29.6+(-8.35)-4.90[tex]t^{2}[/tex]
Solving for t,
t=[tex](+8.35± \sqrt{(-8.35)^{2}-4(-4.90(29.6)}) /2(-4.90)= (+8.35± \sqrt{69.72-580.16})/(-2.9)[/tex]
t=2.59s
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