Question

S=ut+1/2at^2

u=10

a=-2

t=1/2

find s

Answer 1

To calculate displacement (s), plug the given values of initial velocity (u = 10 m/s), acceleration (a = -2 m/s²), and time (t = 0.5 s) into the formula s = ut + ½at². The final displacement is found to be 4.75 meters.

Step-by-step explanation:

The question asks us to find the displacement (s) given initial velocity (u), acceleration (a), and time (t). The formula to find displacement for uniformly accelerated motion is s = ut + ½at². Plugging in the values: u = 10 m/s, a = -2 m/s², t = 0.5 s, we get s = (10 m/s)(0.5 s) + ½(-2 m/s²)(0.5 s)².

Calculating step by step:

1. s = (10 m/s)(0.5 s) + (½)(-2 m/s²)(0.25 s²)
2. s = 5 m + (-0.25 m)
3. s = 5 m - 0.25 m
4. s = 4.75 m

The displacement s at time t = 0.5 s is 4.75 meters.