select the correct answer.\na glider moving with a speed of 200 kilometers/hour experiences a cross - wind…
select the correct answer.\na glider moving with a speed of 200 kilometers/hour experiences a cross - wind of 30 kilometers/hour. what is the resultant speed of the glider relative to the ground?\na. 202 kilometers/hour\nb. 200 kilometers/hour\nc. 196 kilometers/hour\nd. 230 kilometers/hour
Answer
Explanation:
Step1: Identify the vectors
The glider's speed is one vector ($v_1 = 200$ km/h) and the cross - wind speed is another vector ($v_2=30$ km/h). They are perpendicular to each other.
Step2: Apply Pythagorean theorem
The resultant speed $v$ of two perpendicular vectors is given by $v=\sqrt{v_1^{2}+v_2^{2}}$. Substitute $v_1 = 200$ and $v_2 = 30$ into the formula: $v=\sqrt{200^{2}+30^{2}}=\sqrt{40000 + 900}=\sqrt{40900}\approx202$ km/h.
Answer:
A. 202 kilometers/hour