Question

27. Name the two quantities, the slope of whose graph gives :
(a) speed, and
(b) acceleration
28. A cheetah starts from rest, and accelerates at 2 m/s^2 for 10 seconds. Calculate :
(a) the final velocity
(b) the distance travelled.
​

Answer 1

Explanation:

27. ▪️distance time graph

▪️velocity time graph

28.

▪️Initial speed = u= 0 m/s

▪️Time = t =10 s

▪️Acceleration = a= 2m/s2

▪️Final velocity = V= ?

▪️From FIRST equation of motion:

▪️V= u+at

▪️=0+2×10

▪️=20m/s

▪️From Second equation of motion:

▪️S=ut+ 1/2at^2

▪️=0xt+(1/2 )*2×10×10

▪️=100m

▪️Therefore, Final velocity=20m/s and DISTANCE travelled =100m

Answer 2

27.

a.The slope of distance-time graph gives speed

b.The slope of speed/velocity-time graph gives acceleration.

28.

Given:-

u=0

a=2m/s²

t=10s

To find:-

a.v(final velocity)

b.s(distance)

Solution:-

a.v=u+at

v=0+2×10

v=20m/s

b.v²-u²=2as

(20)²-0=2×2×s

400=4s

s=100/4

s=100m