A point moves in a straight line so that it's displacement x a time t is given by x2=1+t2.it's acceleration it's
Answers
Answered by
13
x² = 1 + t²
Differentiate wrt time to find velocity.
2 x dx/dt = 2 t
v = dx/dt = x' = t/x or t / √(1+t²)
Now, x x' = t
Differentiate wrt t.
x x'' + x' = 1
x'' = (1 - x')/x
a = d²x/dt² = [ √(1+t²) - t ] / [ 1 + t² ]
Differentiate wrt time to find velocity.
2 x dx/dt = 2 t
v = dx/dt = x' = t/x or t / √(1+t²)
Now, x x' = t
Differentiate wrt t.
x x'' + x' = 1
x'' = (1 - x')/x
a = d²x/dt² = [ √(1+t²) - t ] / [ 1 + t² ]
kvnmurty:
:-) :-)
Similar questions