main step only (brieflv) Short 4 A lift travels up and down between the ground floor (G) and the roof garden (R) of a hotel. It starts from rest, takes 5s to increase its speed uniformly to 2ms, maintains this speed for 5s and then slows down uniformly to rest in another 5s. In the following questions use upwards as positive. I (i) Sketch a velocity-time graph for the journey from G to R. On one occasion the lift stops for 5 s at R before returning to G. [ii] Sketch a velocity-time graph for this journey from G to R and back. (iii) Calculate the acceleration for each 5 s interval. Take care with the signs. [iv] Sketch an acceleration-time graph for this journey. Answer: 4 (ii) velocity velocity A (ms) 0 5 10 15 time (s) P 5 10 15 20 25 30 5 time (s) lii] +0.4ms 2,0ms 2, -0.4ms ²,0ms ², -0.4ms 2,0ms ², +0.4ms2 explanation needed livl acceleration (ms) 04 -0.4 1 30 35 time (s)

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Chapter1: Units, Trigonometry. And Vectors
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main step only ( brieflv) Short explanation needed
4 A lift travels up and down between the ground
floor (G) and the roof garden (R) of a hotel.
It starts from rest, takes 5s to increase its speed
uniformly to 2ms, maintains this speed for
5s and then slows down uniformly to rest in
another 5s. In the following questions use
upwards as positive.
1
[i] Sketch a velocity-time graph for the
journey from G to R.
On one occasion the lift stops for 5 s at R
before returning to G.
[ii] Sketch a velocity-time graph for this
journey from G to R and back.
[iii] Calculate the acceleration for each 5 s
interval. Take care with the signs.
[iv] Sketch an acceleration-time graph for
this journey.
Answer:
4
velocity
(ms)
velocity,
(ms)
2
1
0
3
10 15 time (s)
Pyy
5 10 15 20 25 30 15 time (s)
[iii] +0.4ms 2,0ms ²,
-0.4ms 2,0ms ²,
-0.4ms2,0ms ²,
+0.4ms2
(iv)
acceleration
(ms)
0.4
0
-0.4
5 10 15
20 2
30 35 time (s)
Transcribed Image Text:main step only ( brieflv) Short explanation needed 4 A lift travels up and down between the ground floor (G) and the roof garden (R) of a hotel. It starts from rest, takes 5s to increase its speed uniformly to 2ms, maintains this speed for 5s and then slows down uniformly to rest in another 5s. In the following questions use upwards as positive. 1 [i] Sketch a velocity-time graph for the journey from G to R. On one occasion the lift stops for 5 s at R before returning to G. [ii] Sketch a velocity-time graph for this journey from G to R and back. [iii] Calculate the acceleration for each 5 s interval. Take care with the signs. [iv] Sketch an acceleration-time graph for this journey. Answer: 4 velocity (ms) velocity, (ms) 2 1 0 3 10 15 time (s) Pyy 5 10 15 20 25 30 15 time (s) [iii] +0.4ms 2,0ms ², -0.4ms 2,0ms ², -0.4ms2,0ms ², +0.4ms2 (iv) acceleration (ms) 0.4 0 -0.4 5 10 15 20 2 30 35 time (s)
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