Question

NEXT blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 96.3 m/s? for 1.93 seconds, at which point its fuel abruptly runs out. Air resistance has no effect on its fight. What maximum altude (above the ground) will the rocket reach? 62 udy Maximum altitude

Answer 1

Here we must find 2 distances, one from launch pad till fuel runs out, then from the point where fuel runs out to out highest attitude Given a = 96.3 m/s^2d t = 1.93 seconds * Find the distance to the point where fuel runs out d = v_i (t) + 0.5 (a) (t^2) d = (0) (1.93) + 0.5 (96.3) (1.93^2) = 0 + 179.35 m, d_1 = 179.35m * Find the velocity at the point where the fuel runs out V_f = V-I + at V_f = 0 + 96.3 (1.93) V_f = 185.8 m/s (this is our velocity when the fuel runs out) \r\n * Find the time of our new distance equation (V_f = 0 = maximum altitude) [because Here at this point, gravity kicks in because the rocket stops accelerating] V_f = V_i + at V_i = V_f - at 0 = 185.8 - (9.8) t 9.8 t = 185.8 t = 185.8/9.8