Question

The displacement of a particle moving in a straight line is given by x=16t-2t^2 find out the displacement after 2and 6 secondabd distancd travelled afrer 3and 6 second

Answer 1

The displacement is given by the equation,

x = 16t – 2t2

Displacement at t = 2 sec

x = 24 m

Displacement at t = 6 sec

x = 24 m

To calculate the distance we have to first find the velocity,

v = differentiation of (16t – 2t2)

v = 16 – 4t

Velocity become 0 at t = 4 sec

Distance travelled at t = 3 seconds

x = 30 m

Distance travelled at t = 6 seconds

x = 32 m