Question

A boat initially traveling at 10. meters per second accelerates uniformly at the rate of 5.0 meters per second2 for 10. seconds. How far does the boat travel during this time?

Answer 1

The initial speed of the boat is $v_0=10 m/s$
and its acceleration is $a=5.0 m/s^2$
Since the boat is moving by uniform accelerated motion, the distance covered by the boat in a time t=10 s is given by:
$S(t)=v_0 t + \frac{1}{2}at^2 = (10 m/s)(10 s)+ \frac{1}{2}(5m/s^2)(10s)^2 =350 m$
So, the boat covers a distance of 350 m in 10 seconds.