Question

A body starts at `t=0` with velcoity `u` and travels along a straight linge. The body has a constant acceleration(a). Draw the acceleration-time graph from `t=0` to `t=10 s` for the following cases:
a. `u=8 ms^(-1)`, a=2s^(-2)`
b. `u=8 ms^(-1)`, a=-2 ms^(-2)`
c. `u=- 8ms^(-1)` ,a=2 ms^(-2)`
d. `u=-8ms^(-1)` ,a=-2 ms^(-2)`.

Answer 1

a. `a=2 ms^(-2), u=8 ms^(1)`
`v=u+at=8+2t, S=ut+(1)/(2)a t^(2) =8t +t^(2)`
.
b. `a=-2 ms^(-2), u=8ms^(-1)`
`v=u+at=-2t, S=ut+(1)/(2) at^(2) =8t-t^(2)`
.
c. `a=2 ms^(-2),u=-8 ms^(-1)`
`v=u+at=-82t, S=ut +(1)/(2) at^(2) =- 8t+t^(2)`
.
d. `a=-2 ms^(-2) ,u=-8 ms^(-1)`
`v=u+at =-8-2t, S=ut+(1)/(2) at^(2)=-8t-t^(2)`
.