Question

57. State the kind of motion represented by the following equations.
a) X = 3t+9
b) X = 4t^2 +t-1
c) X = 4 sin 45°- 6 sin 30°+ 7 cos60°. -2​

Answer 1

Explanation:

(a) differentiating x w.r.t t we get

velocity=3m/s

again differentiating we get acceleration =0

: uniform motion

(b)doing same as part 1

1st derivative = 8t+1=velocity

2nd derivative =8

acceleration is there so non uniform accelerated motion

(c)no time period simply solve the equation you get the distance

thus body at rest