Arubber band projectile was launched by cody at an angle of 500 from the
floor, while aaron took the time. it took the rubber band 1.60 seconds to
land on the other side of the dome. the horizontal distance that was
measured by samantha was 12 meters. calculate the initial velocity of the
rubber band and its highest point from the floor.

1) Initial velocity: 11.7 m/s

The motion of the rubber band is a projectile motion, so it has:

- A uniform motion along the horizontal direction

- A free-fall motion along the vertical direction

Since the motion along the horizontal direction is uniform, the horizontal velocity is constant, and it can be calculated as:

where

d = 12 m is the horizontal distance travelled

t = 1.60 s is the total time of flight

Substituting,

We also know that the horizontal velocity is related to the initial velocity of the projectile by

where

is the angle of projection

u is the initial velocity

Solving for u,

2) Highest point: 4.1 m

The initial velocity along the vertical direction is:

The motion along the vertical direction is a free fall motion, so we can use the following suvat equation

where

is the vertical velocity after the projectile has covered a vertical displacement of s

is the acceleration of gravity

At the point of maximum height, the vertical velocity is zero:

So, if we substitute it into the equation, we can find s, the maximum height:

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2