1 A stone is dropped from rest and falls freely under the gravity Calculate the disctance covered - Physics - Measurement

Question

1 A stone is dropped from rest and falls freely under the
gravity Calculate the disctance covered by it in the first two
seconds (G=10m/s2)
2 A body initially at rest ravels a distance 100 m in 5s with a
constant acceleration Calculate (1) the acceleration (2) final
velocity at the end of 5s
3, Follwing fig show v-t graph for a body in motion Use it to
find the displacement of a body at t=4s
Unable to draw the diagram on this sheet

Meghna Sharma · Accepted Answer

1· Distance covered by a stone freely falling from rest
after 2 seconds is given by
s=ut + 0·5atâ€‹2
Here initial velocity u = 0
a = acceleration due to gravity = 10m/s2
time t= 2s
s =( 0×2) + (0·5 × 10 × 4) = 20m

2 To calculate acceleration, we need
s=ut + 0·5atâ€‹2
Here s=100m
â€‹u=0
t=5s

â€‹100 = ( 0×5) + (0·5 ×a
×25)
100 = 25a/2
a = 8m/s2

To calculate final velocity, we need to put values in v=u+at

v= 0 + 8×5 = 40m/s