Classical Mechanics

2D Kinematics

Position-time graph

         

A 300 g 300 \text{ g} football is kicked in a direction that makes a 30 30^\circ angle with the horizon. The above graph depicts the vertical position (in meters) of the football. If h0=80, h_0 =80, how long (in seconds) does the football fly before falling back to the ground?

The air resistance is negligible and the gravitational acceleration is g=10 m/s2. g = 10 \text{ m/s}^2.

The above graph depicts the horizontal position of a ball that is thrown horizontally at 23 m/s. 23 \text{ m/s} . If x0=69 m, x_0=69 \text{ m}, from what height was the ball thrown?

The gravitational acceleration is g=10 m/s2. g= 10 \text{ m/s}^2.

A body of mass m=3 kg m = 3 \text{ kg} is projected in a direction that makes a θ=30 \theta = 30^\circ angle with the horizon. The above graph shows the vertical position of the body with respect to time tt (in seconds). If t0=8 st_0= 8 \text{ s} and h0=160 m, h_0=160 \text{ m}, how far does the body fly horizontally?

The air resistance is negligible and the gravitational acceleration is g=10 m/s2. g = 10 \text{ m/s}^2.

A body of mass m=1 kg m = 1 \text{ kg} is projected horizontally with a velocity of v=6 m/s. v= 6 \text{ m/s}. The above graph shows the vertical position of the body with respect to time tt (in seconds). If t0=8 s,t_0= 8 \text{ s} , from what height was the body projected?

The air resistance is negligible and the gravitational acceleration is g=10 m/s2. g = 10 \text{ m/s}^2.

A 9 kg9\text{ kg} ball is projected from the ground in a direction that makes a 30 30 ^\circ angle with the horizon. The above graph depicts the vertical position of the ball during its flight. If t0=8 s t_0=8\text{ s} and h0=80 m, h_0 =80\text{ m}, how far does the ball fly horizontally?

The air resistance is negligible and the gravitational acceleration is g=10 m/s2. g = 10 \text{ m/s}^2.

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