A grass hopper can jump a maximum horizontal distance of ` 20 .4 cm` . If it speeds negligible tiem on the ground, what is its speed of travel along the road, ` g= 10 m//s^@`.

Explanation

For manimu horizontal range, ` theta= 45^@ ,`
` R=0. 204 m`.
` So, ` 0.204 =u^2 sin (2 xx 45^@)//g`
or ` u^2=g xx 0.204 = 10 xx 0. 204 = 2.04 m^2//s^@`
or ` u sqrt2 .04 ) = 1.414 m//s`
Velocity along the road
` =u cos 45^@ = 1.414 xx (1//sqrt)= 1 ms^(-1)`.