In deep space (no gravity) , the bolt (arrow) of a crossbow accelerates at 120 m/s^2 (square) and attains a speed of 124 m/s when it leaves the bow. For how long is it accelerated? Answer in units of s.
To find the time for which the bolt is accelerated, we can use the basic kinematic equation:
v = u + at
Where:
v = final velocity (124 m/s)
u = initial velocity (0 m/s, since the bolt starts from rest)
a = acceleration (120 m/s^2)
t = time
Rearranging the equation to solve for time (t), we get:
t = (v - u) / a
Substituting the given values:
t = (124 m/s - 0 m/s) / 120 m/s^2
t = 1.0333 seconds (rounded to 4 decimal places)
Therefore, the bolt is accelerated for approximately 1.0333 seconds.