Aunique type of basketball is played on the planet zarth. during the game, a player flies above the basket and drops the ball in from a height of 10 m. if the ball takes 5.0 s to fall, find the acceleration due to gravity on zarth.

Explanation:

The motion of an object in free fall is a uniformly accelerated motion, so we can analyze it using the following suvat equation:

where, taking downward as positive direction:

s is the vertical displacement

u is the initial velocity

t is the time of flight

g is the acceleration of gravity

For the ball dropped in this problem,

s = 10 m

t = 5.0 s

u = 0

Therefore, solving the equation for g, we find the acceleration due to gravity:

The acceleration due to gravity on zarth = 0.8

Explanation:

The acceleration due to gravity on earth = 9.8

We know that time taken(t) by an object to fall a distance (d) is given by

t =

We are given the height from which the ball is dropped = 10m and the time taken by the ball to fall = 5.0s

So, substituting the given values

d = height of dropping the ball = 10m, t = 5.0 s

i.e. time taken for fall ,in the equation,

Therefore (g) = 0.8 which gives the acceleration due to gravity on planet Zarth.

the device is called “ rocket engine”

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west