A particle is thrown up vertically with a velocity of 50 m/s. Make a table showing the distance covered by the particle, the velocity and acceleration at the end of each second of its journey. Use this data to draw distance-time, velocity-time and acceleration-time graphs.
Displacement covered is s.
Velocity attained is given by,
v = u - gt
Acceleration, a = -g
Given:
Initial velocity, u = 50 ms-1
Acceleration due to gravity, a = -10 ms-2
|
Time |
Displacement |
Distance |
Velocity |
Acceleration |
|
0 1 2 3 4 5 6 7 8 9 10 |
0 m 45 m 80 m 105 m 120 m 125 m 120 m 105 m 80 m 45 m 0 |
0 45 m 80 m 105 m 120 m 125 m 130 m 145 m 170 m 205 m 250 m |
50 ms–1 40 ms–1 30 ms–1 20 ms–1 10 ms–1 0 -10 ms–1 -20 ms–1 -30 ms–1 -40 ms–1 -50 ms–1 |
-10 m/s2 -10 m/s2 -10 m/s 2 -10 m/s2 -10 m/s 2 -10 m/s2 -10 m/s 2 -10 m/s-2 -10 m/s 2 -10 m/s 2 -10 m/s 2 |
Fig. (i) Distance-time graph.
Fig. (ii): Velocity-time graph
Fig. (iii) Acceleration-time graph.
