Question

Consider a particle projected vertically upward with intial velocity of 20 m/s from top of 15 m building as shown how long does it take for particle toreach to point B and point C

Answer 1

To calculate the time it takes for the particle to reach points B and C, we need to consider the vertical motion of the particle. We can use the vertical motion equations to calculate the time it takes for the particle to reach these points.

To calculate the time it takes for the particle to reach points B and C, we need to consider the vertical motion of the particle.

The initial vertical velocity of the particle is 20 m/s.

Since the particle is projected vertically upward, the vertical displacement at point B would be 15 m and at point C it would be 0 m.

We can use the vertical motion equations to calculate the time it takes for the particle to reach these points.

For point B, the equation becomes:

y = yo + voy t + (1/2)gt^2

Substituting the known values, we get:

15 = 0 + 20t - (1/2)(9.8)t^2

This equation can be rearranged to a quadratic equation and solved to find the time it takes for the particle to reach point B. The same process can be followed to find the time it takes for the particle to reach point C.