A cricket batsman hits a ball at a speed of 27m/s at an angle of 60 degrees to the horizontal. How far away would you have to stand in order to catch it (assuming you want to catch it just before it hits the ground)?

64.4 m

Explanation:

First, find how long it takes to land.  Given in the y direction:

Δy = 0 m

v₀ = 27 m/s sin 60° ≈ 23.4 m/s

a = -9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

0 m = (23.4 m/s) t + ½ (-9.8 m/s²) t²

t = 4.77 s

Next, find how far it travels in that time.  Given in the x direction:

v₀ = 27 m/s cos 60° = 13.5 m/s

a = 0 m/s²

t = 4.77 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (13.5 m/s) (4.77 s) + ½ (0 m/s²) (4.77 s)²

Δx = 64.4 m

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

  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.