Calculus Solutions EX#2.1

  Q.01 Solution: $$\quad t=10s$$ We shall find the instantaneous velocity¬† when $t=10s$From the graph, we see thatat $t_1=5 s, \quad s_1=10 m$at $t_2=15 s, \quad s_2=50 m$ Instantaneous velocity at $t=10s$ is equal to the slope of the tangent line at $t=10.$$$m_{tan}=\frac{s_2-s_1}{t_2-t_1}$$ $$m_{tan}=\frac{50-10}{15-5}$$ $$m_{tan}=\frac{40}{10}=4 m/s$$ Q.02 Solution: We shall find instantaneous velocity at $t=4 … Read more