The velocity-time graph for the vertical component of the velocity of body thrown upwards from the g

Question

The velocity-time graph for the vertical component of the velocity of body thrown upwards from the ground and landing on the roof of building is given in the figure. The height of the building is\

Professor PC Thomas Classes · Answer

Height $=$ algebraic sum of the area under velocity time graph\ $=\frac{1}{2} 	imes(30-0) 	imes(3-0)-\frac{1}{2} 	imes 10(4-3)$\ $=\frac{1}{2} 	imes 30 	imes 3-\frac{1}{2} 	imes 10 	imes 1$\ $=45-5=40 \mathrm{~m}$\