Physics
posted by Billie .
A rocker acceleratess up ar 5m/s/s for 10s and at which point the fuel is exhusted, and then the rocket continues upwards in free fall.
a)How high does the rocket riseb)What total time does the rocket spend in the air?
b) What total time does the rocket spend in the air?
The rocket's acceleration is 5m/s^2 for 10s.
using s=(1/2)a*t^2 the distance it goes before it stops accelerating is
s=(1/2)5m/s^2*(10s)^2=250m.
At the 10s mark it velocity is give by
v=a*t=5m/s^2 * 10s = 50m/s
At that point the rocket has only velocity upward and is now being acted upon by gravity, so we use
(1) s=(1/2)a*t^2 + v*t +y0
where v=50m/s and y0=250m
The rocket's velocity is given by
v=g*t + v0
Where v0=50m/s. At the max height gt=v0 or t 50/9.8 s
Use that time in (1) to get the max height.
To figure the total time you should probably break up the path into parts.
The first 10s it accelerates. Then determine how long it takes to get from that point to the max height (you should've determined that above). Then determine how long it takes for the rocket to fall to the earth from that height under the influence of gravity from the equation in the first paragraph.
Please show your work if you repost.
Respond to this Question
Similar Questions

Physics
A small 7.10kg rocket burns fuel that exerts a timevarying upward force on the rocket. This force obeys the equation F = A + Bt^2. Measurements show that at t = 0, the force is 121.0N, and at the end of the first 2.10s , it is 176.0N. … 
Physics
A rocket is fired vertically with an upward acceleration of 30 m/s2. After 20 s, the engine shuts off and the rocket then continues rising (while in freefall). The rocket eventually stops rising and then falls back to the ground. … 
Physics
A toy rocket is launched upwards from rest. The rocket engine will cause the rocket to accelerate at 25 m/s^2 for 3.0 seconds. a) How fast is the rocket moving aft the end of the 3 seconds? 
physics
a rocket blasts off and moves up with an acceleration of 12 m/s2 until it reaches 30 m then the engine shuts down and the rocket continues in free fall. What is the max hieght of the rocket and what is the total duration of the rockets … 
physics
A rocket, initially at rest on the ground, accelerates straight upward with a constant acceleration of 34.3 . The rocket accelerates for a period of 8.00 before exhausting its fuel. The rocket continues its ascent until its motion … 
physics
a rocket is fire vertically and ascends with constant vertical axceleration of 20 m/s^2 for 1min. its fuel is then all used and it continues to move as a free falling bodyn neglexting rhe variation of g altitude, compute a) the max … 
physic
A rocket accelerates straight up from rest for 20 seconds with an acceleration of 8 m/s2. After 20 seconds the rocket motor shuts off and the rocket continues to coast upwards. How high does the rocket go in meters? 
physics
A rocket accelerates straight up from rest for 20 seconds with an acceleration of 8 m/s2. After 20 seconds the rocket motor shuts off and the rocket continues to coast upwards. How high does the rocket go in meters? 
physics
Help please ! been stuck on this for hours. A model rocket blasts off and moves upward with an acceleration of 13m/s^2 until it reaches a height of 25m , at which point its engine shuts off and it continues its flight in free fall. … 
physics
A stationary rocket is launched vertically upward. After 4s, the rocket's fuel is used up and it is 225.6 m above the ground. At this instant the velocity of the rocket is 112,8 m/s. Then the rocket undergoes free fall. Ignore the …