I need help solving the following question: A grasshopper jumps a horizontal dis

Question

I need help solving the following question: A grasshopper jumps a horizontal distance of 1.00 m from rest,with an initial velocity at 45.0 degree angle with respect to thehorizontal. Find (a) the initial speed of the grasshopper and(b) the maximum height reached. I need help solving the following question: A grasshopper jumps a horizontal distance of 1.00 m from rest,with an initial velocity at 45.0 degree angle with respect to thehorizontal. Find (a) the initial speed of the grasshopper and(b) the maximum height reached.

Explanation / Answer

Let's find range x first in terms of horizontalVx   and vertical Vy components of V. x=Vxt t= Vy/g since =45 Vx = Vy then x= Vx (Vy/g) = Vx2/g and since Vx = Vcos(45) x= (Vcos(45))2 / g finally V= (gx) / cos(45) V= (9.81 x 1.00) / cos(45) V= 4.43 m/s Please let me know if you have any questions.

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