Question

A speed-time graph shows a car moving at 10 m/s for 10 s. The cars speed constantly decreases until it comes to a stop at 30 s. Which describes the slope of the graph from 10 s to 30 s

Answer 1

Actually the correct answer is going to be Linear, sloping downward.

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Answer 2

speed of the car at t = 10 s is given as 10 m/s

now at t = 30 s car comes to rest so v = 0

now in this velocity time graph we can say slope will show the acceleration of the car as we know that acceleration is rate of change in velocity

$a = \frac{v_f - v_i}{\Delta t}$

as we know that

$v_f = 0$

$v_i = 10 m/s$

$\Delta t = (30 - 10) = 20 s$

now from above formula

$a = \frac{0 - 10}{20} = -0.5 m/s^2$

So slope of the graph will represent the acceleration of car which is 0.5 m/s^2