Question

Kinematics practice problems Answers: 1. Georgia is jogging with a velocity of 4 m/s when she accelerates at 2 m/s2 for 3 seconds. How fast is Georgia running now? 2. In a football game, running back is at the 10 yard line and running up the field towards the 50 yard line, and runs for 3 seconds at 8 yd/s. What is his current position (in yards)? 3. A cat is moving at 18 m/s when it accelerates at 4 m/s2 for 2 seconds. What is his new velocity?

Answer 1

Step-by-step explanation:

It is given that,

1. Initial speed of Georgia, u = 4 m/s

Acceleration of Georgia,
`a=2\ m/s^2`

Time taken, t = 3 s

Let v is the final speed of Georgia. It can be calculated as :

`v=u+at`

`v=4+2* 3`

v = 10 m/s

2. Initial distance covered, x = 10 yard

Time taken by the person, t = 3 s

Speed, v = 8 yd/s

Distance covered by the runner,

`d=v* t`

`d=8* 3`

d = 24 yards

So, the current position of runner is, 10 + 24 yards = 34 yards

3. Initial speed of the cat, u = 18 m/s

Acceleration of the cat,
`a=4\ m/s^2`

Time taken, t = 2 s

Let v is his new velocity. It can be calculated as :

`v=u+at`

`v=18+4* 2`

v = 26 m/s

Hence, this is the required solution.