Question

The acceleration of a bus is given by a(t) = at, where a =1.2m/s^3.

a) If the bus's velocity at time t = 1.0s is 5.0m/s, what is its velocity at time t = 2.0s ?

b) If the bus's position at time t= 1.0s is 6.0m, what is its position at time t = 2.0s?

c) Sketch ay -t, vy -t, and x -t graphs for the motion.

Answer 1

(c)

t	a	v	x
0	0	4.4	1.6
1	1.2	5	6.2
2	2.4	6.8	12
3	3.6	9.8	20.2
4	4.8	14	32
5	6	19.4	48.6
6	7.2	26	71.2
7	8.4	33.8	101
8	9.6	42.8	139.2
9	10.8	53	187
10	12	64.4	245.6
11	13.2	77	316.2
12	14.4	90.8	400
13	15.6	105.8	498.2
14	16.8	122	612
15	18	139.4	742.6
16	19.2	158	891.2
17	20.4	177.8	1059
18	21.6	198.8	1247.2
19	22.8	221	1457
20	24	244.4	1689.6
21	25.2	269	1946.2
22	26.4	294.8	2228
23	27.6	321.8	2536.2

Acceleration-time graph

velocity-time graph

distance-time graph