If the number is a decimal please include 4 digits past the decimal point if available.
Given
x and y coordinate as:
x= (20.0 m/s) * t
y = ( 4.90 m/ s) * t - (4.76m/ s^2) *t^2
Part ( a )
position vector ( r ) is given as :
r = x i + y j
r=(20* t m) i + {( 4.9* t - 4.76 * t^2 )m} j ......... eqn 1)
here m = meter
part (b)
v= deriveitive of position vector (r) w.r.t
v= d r/dt
v= 20 m/s i + {(4.90 -4.76 *2* t )m/s } j
v= 20m/s i + {(4.90-9.52*t) m/s} j ............... eqn 2)
part ( C)
a = dv /dt
a = 0 m/s^2 i + {(0 - 9.52)m/s^2} j
a =( -9.52 m/ s^2) j ...........eqn 3)
Part (d)
position vector of golf at t= 3.10m/s
r=( 20* 3.10) i + (4.90 * 3.10- 4.76 * 3.10^2) j
r=( 62 m) i +{( 15.19- 45.7436)m} j
r = (62m) i - {(30. 5536)m} j
part (e)
velocity vector at t= 3.10 s
v = 20 i + ( 4.90 - 9.52* 3.10) j ...... ( from eqn 2 )
v= (20m/s) i - {(24.612 ) m/ s } j
part (f)
a ( at t= 3.10 s) from eqn 3 we have
a=( - 9.52 m/s^2) j ( it is independent of time)
If the number is a decimal please include 4 digits past the decimal point if available....
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