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1) which equations will be used to solve for the \'x\' and \'y\' motion? 2) List

ID: 1328119 • Letter: 1

Question

1) which equations will be used to solve for the 'x' and 'y' motion?
2) List the known and unknown variables in those equations, either giving the values or noting that they have unknown
3) What is the time at which the projectile's x-coordinate is 1000m?
4) What is the y coordinate at that time? 16. A projectile is fired at time t = 0.0 s, from point 0 at the edge of a cliff, with initial velocity components Mz = 50 m/s and to = 200 m/s. The projectile rises, then falls into the sea at point P. The time of flight of the projectile is 50.0s. (NOTE: not all information may be useful) 0 When the projectile has a horizontal distance (x-coordinate) of 1000 m from the origin, we will find how high it is (y-coordinate) compared to the launch site.

Explanation / Answer

In vertical,

uy = 200 m/s

a = - 9.81 m/s^2


In horizontal,

ux = 50 m/a

ax = 0

time of flight = 50 s

D = ux * t = 50 x 50 = 2500 m

equation for x - coordinate ,

x = ux*t

x = 50t ...... (i) .....Ans(1)

equation for y - coordinate,

using H = ut + at^2 /2

y = 200t + (-9.81t^2) /2

y = 200t - 4.905t^2 ...... (ii) .......Ans(1) '

using eqtn (i)

1000 = 50t

t = 20 sec .......Ans

Using (ii)

y = 200 x 20 - 4.905 x20^2

y = 2038 m ........Ans